Liverpool have won all three of their Champions League games at AC Milan's Giuseppe Meazza stadium.
The Reds are the only team to play there more than once as a visiting side in the competition while maintaining a 100 per cent record.
Meanwhile, according to the Opta predictor, Liverpool are seventh-favourites to win this season's competition at 4.6 per cent.
Of the 10 teams with the highest probability of lifting the trophy, England are the nation with the most different sides making up that group. Ahead of the Reds, Manchester City rank first (24.9 per cent) and Arsenal rank fourth (6.3 per cent).
A toothless Liverpool performancepublished at 09:10 16 September
09:10 16 September
Chris Collinson BBC Sport statistician
The defeat by Nottingham Forest was one of Liverpool’s tamest attacking performances at Anfield in recent seasons in terms of expected goals (xG - since the start of 2021-22).
While Arne Slot's side had 14 shots, very few of them were good chances. They amounted in total to just 0.87 xG.
Liverpool did still 'win' the game on xG (0.87 v 0.6) - but such low figures meant the match was decided by a moment of quality.
'I have never seen Liverpool play like that'published at 08:56 16 September
08:56 16 September
Former Liverpool youth player Craig Hignett says Arne Slot's side made "bad decisions" and looked "disjointed" as they fell to their first Premier League defeat of the season against Nottingham Forest.
Speaking to BBC Radio Merseyside, Hignett said: "In the first half, Liverpool were in control and you know what they were trying to do. They created three or four chances but didn't take any of them.
"You would think that they would come out in the second half, do more of that and get more chances as the game went on - but it was the opposite.
"They huffed and puffed. They gave so many balls away. They made bad decisions in the final third. They panicked really early on, then couldn't really get anything going and didn't threaten Nottingham Forest's goal.
"I have never seen Liverpool play like that during my time as a commentator - in terms of how drastically they dropped off and lost their level.
"I don't want to say 'it was one of those days' because there is always a reason for something not working.
"Liverpool usually play with a bit of brain, bit of movement, bit of clever and fast play - but it was too slow, backwards and square. And it must have been a Liverpool record in terms of how many times they gave the ball away!
"There was no thought to anything. It was so disjointed. I was shocked watching it."
Liverpool 0-1 Nottingham Forest: The fans' verdictpublished at 08:27 16 September
08:27 16 September
We asked for your thoughts after Saturday's Premier League game between Liverpool and Nottingham Forest.
Here are some of your comments:
Liverpool fans
Geoffrey: Did anyone other than Ryan Gravenberch, Alexis Mac Allister and Luis Diaz break a sweat? Not quick or intelligent enough to see movement or find the right players. Far too slow in everything. Mohamed Salah - learn to pass properly. Awful display!
Vardon: An all too familiar scene played out in front of a frustrated home crowd, reminding all Liverpool fans that just tweaking things with the existing squad won't guarantee a win against well drilled and disciplined 'lesser' opponents. Poor passing and little creativity in the final third led to an exasperating spectacle. Time to reflect and adapt.
Fraser: What on earth happened to that patient style of play that helped us win our first three games? The moment we conceded we went into full panic mode, just as we did towards the end of last season. Salah and Dominik Szoboszlai were just not on point. It's still early days but I hope this is not the start of a slump.
Forest fans
Chris: Executed to absolute perfection. Perhaps Liverpool were unlucky not to get the lead but huge credit to Nuno Espirito Santo for not trying to drag out a draw. This demonstrates the huge leaps we are making. Going for a win with 15 minutes to go at Anfield? Unheard of.
Brian: Fully deserved win. Liverpool ran out of ideas and got outbattled in the middle of the park. We had the clearer chances second half and were always a danger on the break. Much more mature in final moments too - gamesmanship and professionalism. All subs were switched on and solid. Well played.
Graham: Our backline was tighter than my brother - and believe me, he is tight. I would love to wax lyrical about the Reds but we need a striker. Chris Wood is not the answer. Also, Salah had a bad game and how often do you say that?
Gossip: Reds unlikely to pursue interest in Badepublished at 07:24 16 September
07:24 16 September
Liverpool are unlikely to move for 24-year-old Sevilla centre-back Loic Bade, despite being linked with the Frenchman. (Matteo Moretto, via Yahoo), external
'It would help if some individual performances were better'published at 17:38 14 September
17:38 14 September
Arne Slot spoke to BBC Match of the Day after Liverpool's defeat against Nottingham Forest: "Without the ball we did what we had to do, we hardly conceded any counter-attacks except from the one that led to the goal.
"What we have to do better is when you have 70% ball possession, you need to create more chances than what we did.
"It would help if some individual performances would have been better."
On the international break affecting Liverpool's performance: "I don't like to use those excuses. You have to give credit to Forest, well organised and a good game-plan.
"We have to find better options than what we found today with the low block of Nottingham Forest."
Liverpool 0-1 Nottingham Forest: All good things come to an endpublished at 17:10 14 September
17:10 14 September
Emlyn Begley BBC Sport journalist at Anfield
Former Feyenoord boss Slot will have known it would not all be plain sailing in the Premier League.
But the start he had, including the hugely impressive win over Manchester United before the break, had people comparing their set-up to Jurgen Klopp favourably.
Patience passing and build-up is their style now. And for a while it looked like their patience would eventually be rewarded as they created several opportunities they could not take.
Slot brought on Bradley, pushing Trent Alexander-Arnold into midfield, Cody Gakpo and Darwin Nunez as he tried to find the winner.
But in the end Bradley was beaten for the only goal of the game.
Many fans were already leaving Anfield before the final whistle went to confirm the end of their unbeaten start.
Liverpool will hope no heads drop after this shock defeat before Tuesday's Champions League trip to AC Milan.
Liverpool 0-1 Nottingham Forest - send us your thoughtspublished at 16:56 14 September
Sutton's predictions: Liverpool v Nottingham Forestpublished at 10:20 14 September
10:20 14 September
Chris Sutton is making predictions for all 380 Premier League matches this season, against a variety of guests.
For week four, he takes on Femi Koleoso and Ife Ogunjobi from jazz band Ezra Collective, the 2023 Mercury Music Prize winners.
Sutton's prediction: 2-0
I'm at Anfield for BBC Radio 5 Live and I'm looking forward to seeing Arne Slot's Liverpool.
They haven't conceded a goal yet, and they don't give away many chances, but they still look good going forward and absolutely tore Manchester United apart at Old Trafford.
Chris Wood is in good form for Nottingham Forest, but I just don't see them scoring.
Their plan will probably be to just sit in and try to keep Liverpool out, but I don't think that will work either - Mohamed Salah will score and Slot will win again.
Femi's prediction: 3-0
Liverpool are looking like the second-best team in the league at the moment.
'I'm fully focused on the individuals and the team'published at 15:57 13 September
15:57 13 September
Liverpool boss Arne Slot says the summer contract expirations for key players is "not a distraction" for him.
The Reds are making regular headlines as stars Mohamed Salah, Virgil van Dijk and Trent Alexander-Arnold are all out of contract at the end of the season.
Asked about the situation in Friday's news conference, Slot offered: “It's again the boring answer you are going to get from me as long as there is no news. We don't talk about contract situations here.
“Is it a distraction? No, it isn’t because I’m fully focused on the individuals and the team. They are part of the team and I’m trying to work with them in the best possible way to get the best out of them.
“It’s not a distraction for me at all.”
Slot 'impressive' on several frontspublished at 14:38 13 September
14:38 13 September
Mandeep Sanghera BBC Sport journalist
Liverpool manager Arne Slot is proving as much of an impressive performer as his team.
A cool and calm Slot spoke to the media prior to the Reds hosting Nottingham Forest on Saturday on the back of three wins from their opening three games.
The Dutchman adeptly handled a range of questions about the contract situations of Trent Alexander-Arnold, Virgil van Dijk and Mohamed Salah, who have each entered the final 12 months of their deals, injuries, the unhappiness expressed by keeper Caoimhin Kelleher and a hectic upcoming schedule.
The Reds play seven games in three weeks across the top-flight, Champions League and Carabao Cup before the next international break in October and it was interesting to listen to Slot talk about coping with that fixture list.
He spoke about how this was not an issue at former clubs where he could stick with the same team and how he was able to look at the team rather than the individual when it came to his preparation for the run of games.
But, anyone wanting to get more first-team football will have to earn it.
“It depends on what they show,” said Slot. “I assume that they all want to play every game so if they want to they have to show up every time.
Slot on Elliott injury, Kelleher's exit talk and squad rotationpublished at 09:53 13 September
09:53 13 September
Katie Stafford BBC Sport journalist
Liverpool boss Arne Slot has been speaking to the media before Saturday's Premier League game against Nottingham Forest (kick-off 15:00 BST).
Here are the key lines from his news conference:
Alexis Mac Allister is expected to be available after being forced off in Argentina's World Cup qualifier last Friday.
Slot said Harvey Elliott's injury - a fractured foot - is a "big disappointment for him and for us" but "it gives the chance to someone else".
Federico Chiesa could play against Forest as he has now trained with the group three to four times.
On Caoimhin Kelleher saying he wanted an exit: "I would be really worried if a player said they didn’t care about playing first team football. At this moment it’s clear Alisson is number one but last year he played many games. He handles the situation really well."
He said Ryan Gravenberch "took his chance" and "benefits from how the team are playing and the structure".
On opponents Nottingham Forest: "They also haven’t lost this season yet so they’re in a good place. It will be a tough one."
He said losing so many players over the international break "says a lot about the quality" of the squad and is also a great opportunity for some players to play 90 minutes.
On the Reds not conceding a goal to date: "In an ideal world we don’t need Alisson but the reality is that we have. It’s a team performance that we don’t concede and that comes form putting in a lot of work without the ball."
In response to the likelihood of rotating players for the busy period ahead: "At my former teams, we were almost playing every game with the same players but it is a different league. I might have to adjust to that. It will depend on what they show in physique."
Slot to face questions on contracts, injuries and Elliottpublished at 07:36 13 September
07:36 13 September
Mandeep Sanghera BBC Sport journalist
It may have been the international break but there has still been plenty going on at Liverpool.
Contract situations, an unhappy player and, of course, injuries have dominated the Reds' landscape and the media will get the chance to ask Liverpool boss Arne Slot about them this morning.
Slot will be chatting at about 09:00 BST prior to his side’s return to action in a home game against Nottingham Forest on Saturday.
In terms of contract situations, the talk has been dominated by the deals of right-back Trent Alexander-Arnold, centre-back Virgil van Dijk and forward Mohamed Salah running out next summer.
Alexander-Arnold has yet to give too much away about his situation but while on international duty with the Netherlands Van Dijk has said he wants to sign a new deal.
Salah said after the 3-0 win at Manchester United in the club’s last game that nobody at Liverpool had spoken to him about a new deal before reports emerged that he wanted to extend his stay with the Anfield outfit.
The unhappy player appears to be keeper Caoimhin Kelleher. He has said he wants to leave Liverpool to "be a number one" as the club looks like they have chosen to go "in a different direction" by securing a deal for Georgia keeper Giorgi Mamardashvili from Valencia next summer.
There is always concern from clubs about injuries during the international break and it seems Liverpool have not escaped without a casualty on that front.
According to reports, attacking midfielder Harvey Elliott looks like he will be out for at least a month with a fractured foot suffered on England Under-21 duty.
We will hear what Slot has to say on all that and more.
Gossip: Reds step up Musiala interestpublished at 07:35 13 September
07:35 13 September
Liverpool have stepped up their interest in Bayern Munich attacking midfielder Jamal Musiala, 21, with Manchester City, Real Madrid and Paris St-Germain all monitoring the Germany international. (Caughtoffside, external)
If I was still playing who would I choose to play for?published at 17:49 12 September
17:49 12 September
If I was to be a footballer at any club, at the moment, then I would probably choose be at Arsenal or Liverpool.
Coming into the season I liked what Arsenal were. They have a great young side who are desperate to win something and they are progressing and getting better. Mikel Arteta doesn’t have any pressure on him because he knows what he stands for.
They are back in the Champions League and the crowd are on their side as they are happy with what they are seeing. They are, of course, disappointed that they have not won anything but they are still proud of their team.
The club’s connection with the fans is now very different. If you go back 10 years then you have the rise of Arsenal Fan TV and that was all about the discontent in the way the football club was going. Now it is the opposite and they are very much united.
It is early days for Liverpool under Arne Slot but they feel fine after losing one of the most significant managers in their history. Some people wouldn't have thought that would be possible but by being himself he has got everyone excited.
There is still more of a transition to come but there seems to be a real happiness and harmony within the players and manager. It feels like they will be playing for major honours come the end of the season.
Nedum Onuoha was speaking to BBC Sport's Katie Stafford