A source told The Sun newspaper: ''Alexa and Chris did see each other in NYC, briefly.
''Friends think sit's definitely developing into a relationship. But Alexa's a cool girl. She's not going to make herself look stupid.
''They like each other and have a lot in common but life's a bit tricky for Chris at the moment.''
It was recently reported the 'Viva la Vida' hitmaker has been ''angry'' at how his breakup unfolded so publicly, and has reconsidered whether to ever get married again.
An insider previously said: ''It's a tough time for Chris and he absolutely hates having his dirty linen washed in public.
''He's a very private person. Chris isn't comfortable talking about it, feels like he's let himself down and is also angry with the way the split unfolded.''
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