Nicole Kidman & Keith Urban's Rendezvous

09/15/2005 at 03:00 PM EDT

Nicole Kidman & Keith Urban's Rendezvous
Fernando Leon / Retna; Jamie McCarthy/WireImage

Keith Urban

Keith Urban

Nicole Kidman and country music star Keith Urban, continue to fuel rumors of a romance.

On Sept. 3, they spent time together in woodsy Litchfield County, Conn., dining in the garden of the Good News Cafe in Woodbury. (Kidman ordered the tofu special and the mocha pecan pie for dessert, reports the Hartford Courant.) The pair returned the following day for lunch, and one onlooker said they "looked very together."

This isn't the first time the two have met for a rural rendezvous. In July, the Oscar-winning actress went on a motorcycle ride in Woodstock, N.Y., with Urban. While in the bucolic town, the pair had lunch at Elijah's Cafe, a natural foods restaurant and checked out Timbuktu, a boutique.

Both Kidman, 38, and Urban, 37, are from Down Under; in fact the two first met in January at a gala dinner in L.A. honoring noted Australians.

Still, their reps insist there is no romance. Last month Urban's rep told PEOPLE: "They are friends, and no, they are not dating."

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