Madonna and A-Rod: Looking for Love Nest?

Bauer Griffin Online

Page Six reports that the definition of undercover lovers, Madonna, 50, and New York Yankee Alex Rodriguez, 33, are searching for properties to buy together on the Upper East Side and East End of Manhattan.

The couple, who still aren't open about their relationship and have managed to minimize being photographed together, are said to be "discreetly looking at properties between Fifth and Park avenues, from just above 60th Street through the 80s."

"Madonna personally came to look at one house a couple of months ago, and Alex has been looking recently," the source said. "We're talking about private, double-width mansions in the vicinity of $30 million to $60 million."

That's a lot of Kabbalah water.

The twosome are reportedly requiring a property with a private garage for added security, which is difficult to come by in Manhattan.

Madonna recently split with her director husband, Guy Ritchie, 40,  and was reportedly the "other woman" in Alex's split from his wife, Cynthia, 36.

Despite their almost uncanny ability to avoid photographic proof of their relationship, A-Rod recently attended Madge's concert in Miami after a Thanksgiving meal with his ex-wife and daughters.

He reportedly passed her a water bottle from the front row during the show, and she allegedly directed her song "You Must Love Me" to him.

They were also assumed to have spent last weekend in Mexico together.

But capturing sharp pictures of the pair together is like trying to get photos of Nessie or Bigfoot!