The pair notoriously spent the majority of their decade-long marriage avoiding being photographed together, with only a handful of snaps being taken since 2003, but since the announcement they have been spotted together several times, and a source said: "They haven't made any concrete decision to get back together yet, but clearly it's a possibility."
A rare unguarded snap of Gwyneth Paltrow and Chris Martin
They have two children together and said at the time: "We are, however, and always will be a family, and in many ways we are closer than we have ever been. We are parents first and foremost, to two incredibly wonderful children and we ask for their and our space and privacy to be respected at this difficult time."
Speaking to People magazine, the source added: "At this point, some of the pressure was just taken off them – pressure they put on themselves to 'make it work'."
Another source confirmed that the two have been spending more time together now that they have split, saying: "They have spent more time together than they did when they were a couple. When they are out together, all they do is laugh and act flirty and playful."
Chris Martin and Gwyneth Paltrow at the 2014 Golden Globe Awards
He has also in recent weeks denied being in a relationship with Alexa Chung, after he was seen enjoying an evening out with the 30-year-old model and TV presenter at Elsa bar in New York.
A spokesperson for the musician has denied the pair are seeing each other romantically, saying: "They are definitely not dating".