Morgan volleys past Alexander after 38 minutes
Lloyd struck bar with penalty just after the hour
Shelley Kerr's Scotland preparing for first World Cup
World champions USA have won all four previous meetings
GET INVOLVED #bbcsportscot
FT: Scotland 0-1 USA
The preparations for France 2019 start in earnest next year.
Scotland will find out their World Cup opponents soon, with the tournament draw in Paris on 8 December.
Shelley Kerr's team equipped themselves well tonight and should be full of confidence after a good showing against the world's number one side.
FT: Scotland 0-1 USA
Scotland head coach Shelley Kerr is off for a well earned holiday after a memorable campaign, taking the nation to the World Cup for the first time.
"Although we don't like losing, it's a great way for us to end a fantastic year with a narrow loss to the world champions," she tells BBC Scotland.
"What I am confident about is the way we tactically set up. We covered every single detail and prepared well. We had a game plan and we matched them mentally and physically.
"They showed their quality at times. The speed in the final third and in the wide areas caused us some problems. For long spells we didn't have the ball and that's something we need to develop.
"But we did created chances against the world champions and at the end they were putting on subs, wasting time to see the game out.
"Overall, I'm really pleased."
Image source, BBC SportFT: Scotland 0-1 USA
USA end 2018 unbeaten, winning 18 of their 20 matches.
That stretches their run without a loss to 28 games, with an aggregate score of 93-17.
The three-time World Cup winners have now gone 884 minutes without conceding a goal.
FT: Scotland 0-1 USA
Willie Miller
Former Scotland defender on BBC Sportsound
Quote MessageIt's been tactically very astute from Shelley Kerr. The way she changed the formation really caused them a problem or two. Scotland created three four chances and showed a really good attitude
FT: Scotland 0-1 USA
Scotland captain Rachel Corsie is named player of the match.
"It epitomises the year we've had," she tells BBC Scotland. "We worked so hard together and they found it hard to break us down.
"We'll face a team of this calibre at the World Cup, possibly quite early on. We were strong towards the end. The USA are renowned for their fitness and we matched them right until the end.
"Now we can go into the new year and we can step up our preparations. The World Cup will be a step up from this."
FT: Scotland 0-1 USA
Scotland can be proud. They pushed the World Cup holders all the way in Paisley.
Okay, the visitors didn't have all of their star players on show but they did have a strong side and Scotland were also missing some key personnel.
The only goal came from Alex Morgan, a lovely first-half volley, while USA captain Carli Lloyd smashed a penalty kick against the crossbar.
USA keeping the ball near the corner flag, running down the clock. And that's it...
Scotland 0-1 USA
Off goes Erin Cuthbert on another exciting burst and she has her shirt tugged as she shoots. A free kick to Scotland about 22 yards out... Caroline Weir's effort is disappointing though, slamming into the defensive wall.
Scotland 0-1 USA
Julie Fleeting
Former Scotland striker on BBC Sportsound
Quote MessageI think Shelley is confident in the ability of the players she set out on the pitch tonight. You can see the depth in the squad. We had four missing from the starting eleven and we've now introduced another six and still look a strong side
Scotland 0-1 USA
The attendance in Paisley is 3790 - a little bit short of the record 4,098 crowd for the World Cup qualifying win over Switzerland back in August.
Willie Miller
Former Scotland defender on BBC Sportsound
Quote MessageIt's a different Scotland after the changes. We're playing with three up and one off. They're having a right go.
Scotland 0-1 USA
Off comes Fiona Brown and on comes Lizzie Arnot. Can the Manchester United winger make an impression as Scotland's sixth substitute?
Scotland 0-1 USA
A cute ball over the top from Christie Murray finds Lana Clelland racing into space behind the USA defence but her first time effort is comfortably pushed away by goalkeeper Ashlyn Harris.
Scotland are going for it now and look menacing in the final third.
Image source, SNSScotland 0-1 USA
Willie Miller
Former Scotland defender on BBC Sportsound
Quote MessageThe USA have had the sting taken out of them by how well organised Scotland have been. Defensively, I think Shelley can be more than happy about how they've shaped up and their attitude
Scotland 0-1 USA
The game is stretched now as USA goalscorer Alex Morgan gathers the ball and races into the penalty area from the left only to drive her shot into the side-netting.
Scotland 0-1 USA
A great bustling run from Erin Cuthbert takes her to the edge of the USA penalty box where she works a neat one-two with Lana Clelland. However, she is crowded out by defenders in white and can't get a clean contact on the return pass.
Lana Clelland, fresh from winning the Italian Super Cup with Fiorentina, replaces striker Jane Ross as Scotland press for an equaliser in the final 15 minutes.
Scotland 0-1 USA
Julie Fleeting
Former Scotland striker on BBC Sportsound
Quote MessageChristie Murray has an awful lot to give the team. I wonder if they'll move Erin Cuthbert back one space, somebody's that going to run about put challenges in, and allow Christie to get on the ball and try and support Jane Ross
Scotland 0-1 USA
A Caroline Weir free kick is headed clear from the USA penalty box into the path of Christie Murray but the Scotland substitute isn't warmed up yet as she drags her shot miles wide of the target.
Scotland 0-1 USA
Another change for Scotland as Liverpool midfielder Christie Murray takes over from Jo Love, who gets a warm round of applause in her home town.