Madonna madonnadonnacougarfight.jpg

While Madge is off gallivanting around the globe (Brazil, specifically) with a new man, Donna Karan was on vacay with A-Rod and pals including Demi Moore and Ashton Kutcher, where Page Six reports the sexagenarian couldn't keep her eyes off the slugger!

A-Rod apparently got "very close to [Karan] who only had eyes for him and followed him around all night on New Year's Eve."

So should Madonna be worried about the woman who's ten years her senior?

Not really, apparently Karan struck out with Alex, who is "still hung up on Madonna."

Damn, we woulda loved to have seen a cougar fight between these two!