Taylor Swift & Jake Gyllenhaal: Back Together?

Is Taylor Swift giving Jake Gyllenhaal another chance?

The two stars, whose brief relationship fizzled in December, arrived quietly together on Wednesday at Bound'ry, a restaurant near Swift's Nashville condo, and were led back to a table for two, according to another patron.

"They did eat," the patron tells PEOPLE. "They were cordial to one another, but not affectionate."

The two were last spotted publicly together on Dec. 9.

Swift has been lying low in Nashville in recent days, rehearsing with her band for a concert on a Royal Caribbean cruise ship, where she will perform on Friday, and for the Asian leg of her Speak Now tour, which begins in Singapore on Feb. 9.

Credit: People

Jake Buys Taylor Swift An $11,000 Guitar

What's next, an engagement ring!? These two sure are taking it fast...

Jake Gyllenhaal purchased a rare $11,000 Fender Gretsch guitar signed by country music legend Chet Atkins for Taylor Swift's 21st birthday, according to The Sun. Taylor saw it at a shop when they were together in Nashville last month, and Jake later returned and bought the instrument.

A source tells the UK tabloid, "He spent the weekend in Nashville with her and she saw the guitar in a tiny store which a lot of A-list musicians use. Taylor drooled over it so Jake went back to the shop later and bought it for her. He was originally going to buy it just as a gift but it ended up being perfect for her birthday on Monday."

A perfect gift from a perfect boyfriend -- what more could a girl want?!

Credit: X17 Online

Taylor Swift Turns 21 With Jake By Her Side

She turned 21 yesterday (December 13) and Taylor Swift had her main squeeze Jake Gyllenhaal by her side all night.

The “Love Story” songstress celebrated at her home in Nashville with a small, “super low-key” party sans booze.

A partygoer snitched to press that Taylor and Jake were “cuddly and so cute” and “obsessed” with one another.

Prior to the big day, Taylor told press, "I want a Christmas-themed birthday, because I love Christmas as much as my birthday. Combining the two just seems like the perfect festivity."

Credit: Celebrity Gossip