Gwyneth Paltrow and Chris Martin
Sara De Boer/StarTraks; Chris Jackson/Getty
07/04/2012 at 06:00 AM EDT
and Chris Martin kept things hot and heavy over the weekend.
Following a Coldplay concert in Florida, the band's lead singer and his wife made their way out to LIV at Fontainebleau Resort in Miami, where they appeared to be having a blast.
"Chris and Gwyneth drank champagne and she was all over him," a source tells PEOPLE. "They looked so much in love. Gwyneth danced all night."
The insider adds that during the evening, Martin ordered Paltrow and their pals a table of food from Scott Conant's Scarpetta restaurant, also located in the hotel. – Linda Marx