Alex Rodriguez: A Cougar Magnet?

While Madonna entertains herself with Brazilian boy toy Jesus Luz, she's apparently willing to share her other man, Alex Rodriguez, with her kabbalah friends.

A-Rod flew into Parrot Cay to ring in the New Year with Demi Moore, Ashton Kutcher, Bruce Willis and Donna Karan .

While on the island, a spy says the slugger got "very close to [Karan] who only had eyes for him and followed him around all night on New Year's Eve."

But apparently Rodriguez is "still hung up on Madonna" and refused Karan's advances.

Click here to read more from the New York Post.