Jude Law and Lindsay Lohan... What?!

Words we sincerely hope Jude Law's three kids will never have to hear: "Meet Lindsay Lohan, your future stepmom." The New York Post claims the rehabbed but still continuously club-hopping starlet got to know the Sienna-less, nanny-susceptible actor a little bit better last weekend while making the scene in Manhattan.

Lohan, 20, supposedly called Law, 34, at 1 a.m. Saturday and rendezvoused with him at the unfortunately named New York nightspot The Box.

They apparently hit it off, because the next night the age-disproportionate new pals met up again at The Box (oy). There, says the paper, they hung out with Jude's buddies Sean Penn and Tim Robbins, who at 46 and 48, respectively, must have filled LiLo's father-figure quota for the month (in related news, her estranged pop was sprung from the pokey this week).

"They are adoring one another's company," a mole (no doubt breathlessly) informs the paper, but demurs when asked whether they might be "dating."

Lindsay's spokeswoman is mum on the reports, although she does confirm to Star that the puffy lipped actress, who may or may not have clipped a paparazzo with her BMW while leaving hot spot Butter on Tuesday, has purchased two puppies (PETA, take note).

As for Law, who has been in Tokyo this week promoting "The Holiday," his mouthpiece doesn't comment on his personal life.