The British presenter - who was recently romantically linked with Hurts star Theo Hutchcraft after ending her four-year relationship with Alex Turner last summer - was accompanied by The Strokes' guitarist at a private Mulberry dinner party hosted at The Crown restaurant in New York last Friday (04.05.12) but the pair did their best to keep their romance under wraps.
A source told the New York Post newspaper: ''Alexa and Albert arrived together and left together...They were adamant that they were not to be in any pictures together.''
Alexa and Alex announced their four-year relationship was over last July but were hopeful of remaining friends.
A source said: ''They want to stay friends so it's best to split now. They've been through a lot together and all their friends are sad they've called time as a couple.
''It was best that they both got out now and saved their Friendship.''
Insiders blamed the pair's working commitments for causing them to drift apart because Alexa, 27, is based in New York, while Alex spends most of his time on the road with his band.
Albert has previously dated British model Agyness Deyn.