AceShowbiz - Jennifer Lopez and Ben Affleck clearly have no intention to hide their rekindled romance as they don't shy away from showing their affection to each other. Nearly two months since their reunion rumors first emerged, they have been photographed cozying up to each other for the first time.

The pair's public display of affection was captured during their outing on Monday night, May 31. In pictures obtained by Page Six, they wrapped their arms around each other during a romantic dinner date in West Hollywood.

Both of them were beaming as they headed into Wolfgang Puck's new restaurant at the Pendry hotel. The lovebirds were also spotted holding hands during their dinner date.

They arrived together in Ben's car, although there "appeared to be a third person in the backseat," according to the site. Before heading into the restaurant, the "Gone Girl" actor snuck in a quick cigarette break.

For the outing, Jen kept herself warm in a pink sweater teamed with a fashionable tan coat and some serious pumps. As for the 48-year-old actor, he opted for a casual look in a leather jacket and jeans combo.

It marks the first time they were pictured engaging in PDA since they were reported rekindling their romance in April, shortly after J.Lo called it quits with her then-fiance Alex Rodriguez.

The 51-year-old singer/actress, who has been living in a rented house in Miami, reportedly spent this past weekend in Los Angeles for business reasons, but also wanted to spend time with Ben. A source tells PEOPLE, "They will continue to travel back and forth between Los Angeles and Miami. They are very happy together."

Hinting that their relationship is serious, the so-called insider claims that the couple is "slowly starting to talk about the future." The source dishes, "This is not a casual relationship. They are taking it seriously and want it to be long-lasting."