Reese Witherspoon and Jake Gyllenhaal were spotted holding hands and kissing on Monday at LAX airport, according to Us Weekly.

And there are reportedly photos to prove it!

“Dressed in matching black T-shirts and jeans, Reese and Jake strolled hand-in-hand and smooched at Los Angeles International Airport October 22,” reports Us. “On October 19, Witherspoon, 31, was spotted resting her head on Gyllenhaal’s shoulder while walking through the streets as they enjoyed some downtime.”

The couple has been at the Rome Film Festival promoting their latest film Rendition.

Does this make Gyllenspoon officially a couple now?!

UPDATE: OK! magazine has the first picture of Reese and Jake holding hands. Click here!!!!!! Do you believe it now??????????????????????????????? The picture will be in the upcoming issue of People magazine. Check it out on newsstands!

Reese Witherspoon (in Nina Ricci) and “costar” Jake Gyllenhaal, aka Gyllenspoon, attend the premiere of their new movie Rendition during day 4 of the 2007 Rome Film Festival on Sunday in Rome, Italy.

Rendition scored a paltry 44% on Rotten Tomatoes‘ fresh meter. “The performances are surprisingly lackluster,” one reviewer has said. “Witherspoon practically sleepwalks through the whole thing, as does Gyllenhaal.”

As mentioned earlier today, Rendition ranked a horrible ninth place at the box office this weekend, pulling in $4.2 million.

45+ pictures inside of Gyllenspoon @ Rome Film Festival 2007… More Here! »

Reese Witherspoon (in Dolce & Gabbana) smiles for photographers while costar “pal” Jake Gyllenhaal looks on while promoting their film Rendition during day 4 of the 2007 Rome Film Festival on Sunday in Rome, Italy. Director Gavin Hood (pictured inside) joined his two main stars for the event.

Gyllenspoon 4EVA!

Rendition, a political drama about a man arrested as a terror suspect, opened this weekend and ranked ninth at the box office. It pulled in just $4.2 million. Sad!

35+ pictures inside of Reese & Jake @ 2007 Rome Film Festival… More Here! »

Jake Gyllenhaal hypes up his new film Rendition at the The Late Show with David Letterman taped at NYC’s Ed Sullivan Theatre on Monday.

Tuesday, Jake will hit up The Today Show, Live With Regis & Kelly! and Late Night With Conan O’Brien.

Watch Jake’s appearance on Friday Night with Jonathan Ross from this past weekend here and here. Watch Jake on Letterman below!

Jake Gooberballs!!!!!

More Here! »

Jake Gyllenhaal arrives at London’s Heathrow airport on Friday afternoon. The 26-year-old scruffy star is in town for the UK premiere of his latest movie Rendition, which also stars rumored love Reese Witherspoon.

Jake is also set to make an appearance on tonight’s episode of UK’s Friday Night With Jonathan Ross.

Mr. Gyllenhaal will be back in NYC by Monday for a string of appearances. Monday will be The Late Show With David Letterman. Tuesday is The Today Show, Live With Regis & Kelly! and Late Night With Conan O’Brien.

Other pictures include Jake lunching at (where else?) L.A. cafe Joan’s On Third with a female friend on Wednesday. More Here! »

A super scruffy Jake Gyllenhaal and costar Reese Witherspoon get thisclose to each other while speaking to other people during the after-party for the premiere of Rendition in Beverly Hills, Calif. on Wednesday night. The two did not even make eye contact with each other on the red carpet!

Look, even director Gavin Hood is trying to bring them together!

“It’s interesting how our stories intersect even though we don’t talk to each other in the film,” said Reese of her lack of interaction with Jake in the film. “You’re anxious to see what other people do with their side of the movie.”

30+ pictures inside of Jake Gyllenhaal @ at the Rendition premiere… More Here! »

Jake Gyllenhaal grabs lunch at perennial favorite Joan’s On Third (Heroes star Hayden Panettiere ate there last week) in Beverly Hills on Tuesday afternoon. He scooted out of there just in time as ex-girlfriend Kirsten Dunst grabbed lunch at the same restaurant moments later!

And according to E! Online, Jake and Reese Witherspoon not only attended the Rufus Wainwright concert…

“Jake and Reese were sitting by the fire all night, talking,” a fellow party guest confessed. “Everyone was talking, laughing and celebrating Rufus, but they were deep, deep in conversation. It was like there was no one else in the world.”

That should raise some eyebrows!

Gyllenspoon is still on!

Jake Gyllenhaal and Reese Witherspoon apparently haven’t split yet. USA Today’s Will Keck spotted the two lovebirds Sunday night at the Hollywood Bowl, where they caught Rufus Wainwright sing a collection of Judy Garland songs.

Other stars in the celeb crowd: Drew Barrymore, Marisa Tomei, Hilary Swank, Jerry O’Connell & Rebecca Romijn, Rod Stewart, Jamie Lee Curtis, Debbie Reynolds, Carrie Fisher, Kevin Pollack, Dita von Teese, Jimmy Fallon, Ron Rifkin and Chad Lowe.

UPDATE: Jake was reportedly there with Reese AND his family — director father Stephen Gyllenhaal and his actress godmother Jamie Lee Curtis. Welcome to the Gyllencircle, Reese!!!!!