A knowledgeable real estate source tells us the kabbalah-crazed pop queen and the skirt-chasing power hitter are "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 insider said. "We're talking about private, double-width mansions in the vicinity of $30 million to $60 million."
The 'couple' are also interested in scoring a house "with a garage that you can drive into for additional privacy - although those are rare and hard to come by," our spy added. Another source said they were also looking in the Hamptons.
Madonna's flack didn't return a call or e-mail, but A-Rod's reps denied the two were looking for real estate.
Rodriguez, meanwhile, continues to try to unload the old marital home he shared with ex-wife Cynthia - even dropping the price on the four-bedroom, 4,600-square-foot pad at Trump Park Avenue to $10 million, down from the original $14 million, according to the Post's Braden Keil.
A-Rod is also willing to rent it unfurnished for $50,000 a month. Madonna, meanwhile, is hanging on to her Central Park West apartment.
Last week, after Page Six revealed he planned on dumping his kids on Thanksgiving to spend the day with Madonna and her kids in New York, a shame-faced A-Rod and Madge flew together on a private jet to Miami, where she performed.
While A-Rod did see his children on the holiday, the lovebirds later flew to Mexico City together for the weekend.
MadRod are a go.