Madonna and Alex Rodriguez's romantic road trip

Singermad_victo_56283361_600  Madonna and Alex Rodriguez are taking their lovebird act on the road.

According to the Miami Herald, after a late-night after-party Wednesday at Fontainebleau Hotel owner Jeff Soffer's home, Madonna had another sleepover at New York Yankees slugger Alex Rodriguez's rental home on Miami's exclusive Star Island.

Presumably after a nap, A-Rod enjoyed an  early afternoon holiday meal with his daughters Natasha, 4, and Ella, nearly 8 months, and soon-to-be ex-wife Cynthia.

Bet that was a cozy family meal. Extra helping of tension with those yams?

While A-Rod was dining with his daughters, Madonna got together with her no-longer estranged brother Christopher Ciccone, who penned that recent tell-all book about life with Madonna.

Wanna bet they compared a few notes on Ritchie, whom Christopher has accused of being anti-gay?

Keep reading to find out what  happened later that night AND days later in Mexico City....