A source told website X17 online: "They were all over each other during
their date."
Spike, 37, who directed 'Being John Malkovich' starring Drew's close friend
Cameron Diaz, is the ex-husband of director Sofia Coppola.
Sofia was reportedly so irritated by Cameron when she worked with Spike, she
based the obnoxious, dizzy blonde character of Kelly in 'Lost In Translation
' on her.
Meanwhile, Drew has confessed she can't stop smiling and is "disgustingly"
optimistic.
The 32-year-old said: "I don't know why I am always this happy but I have
such a great life. I can't help but be happy. I am just disgustingly always
optimistic. It's got to be weird."

Drew also revealed she is much happier since splitting from Fabrizio, who
she dated for four-and-a-half years, because she can channel her energies
into making herself happy.
She admitted: "It's a win-win situation."

In other news, Drew Barrymore, could have Hepatitis A.
The star may have contracted the illness after attending a US post-premiere
party for 'Music and Lyrics' on February 7.

The event was catered for by Wolfgang Puck's company, and it has been now
been revealed one of the cooks had Hepatitis A.

A letter was sent to guests warning them of a "public health issue" and
saying they may be at risk of infection if they had eaten uncooked food.
Guests at risk were advised to get a gamma globulin shot within 14 days of
exposure - before February 21.