The couple, who just celebrated their second wedding anniversary in July, shared an al fresco breakfast at eatery La Conversation in Los Angeles on Saturday.
Berry, and Martinez, both 49, ordered croissants and coffee, according to an eyewitness.
“They used to be regulars, so it was fun to have them back,” the witness told PEOPLE. “They seemed fine. Olivier ordered for them.”
Another source told PEOPLE the couple returned to Berry’s nearby home in Beverly Hills after the meal and were both wearing their wedding rings, despite recent reports of relationship trouble.
“The seemed okay and were affectionate,” the source said.
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“Halle and Olivier relaxed on the beach with the kids and also visited the Malibu Country Mart for lunch,” a source told PEOPLE. “They had fun with the kids and wore their wedding rings. They seemed happy.”