Halle Berry, Oliver Martinez on the set of "Dark Tide"

*People magazine is reporting that Halle Berry and the co-star of her next film are getting pretty cozy off-screen as well.

According to the website, the Oscar winner and actor Oliver Martinez – who have been filming “Dark Tide” together this summer – were seen hugged up and even smooching while on a Paris shopping spree over the weekend. [See photo below.]

“They had their arms around each other as they walked. They were both smiling and laughing. Their body language was very flirtatious,” a source told the website. “They definitely seemed like a couple – absolutely looked like more than friends.”

Berry split from model Gabriel Aubry – the father of her daughter Nahla – in April, while Martinez previously dated Kylie Minogue.

Neither has commented on the report.

Below:  The pair shoot scenes for “Dark Tide”