Spotted: Alex Rodriguez and Madonna!

Looks like an affair of more than the heart may be heating up.

Finally free of the ol' ball and chain Cynthia Rodriguez, and with plenty of time to kill this October, New York Yankees slugger Alex Rodriguez was spotted enjoying a cozy dinner for two at Dos Caminos 3rd Avenue Tuesday - with Madonna!

They pair ate at an alcove-like table in the back.

Alex Rodriguez, who has donated money to her charity Raising Malawi, has yet to discuss the extent of his relationship with the pop superstar.

He and Cynthia Rodriguez settled their divorce in September. Cynthia's lawyer, in her filing, accused A-Rod "affair of the heart" with Madonna.

Madonna may be the first to take it off for Alex Rodriguez without being impressed by money - she's even richer than baseball's highest-paid choke-artist player!

Not that A-Rod wasn't linked to any flesh-related infidelity. He was caught in Toronto with manly stripper Joslyn Noel Morse, definitely railed Boston stripper Candice Houlihan, and was also linked to fitness model Alicia Marie.

Whatever it consisted of, Alex Rodriguez's relationship with Madonna - the Rod had been paying late night visits to her apartment, including just hours after his baby daughter was born this year - seemed to be the nail in the coffin.

"He [said] he was in love her," a friend of A-Rod recalled earlier this year. "He said, 'She's my f*%king soulmate, dude.'"