Mike Leake said he expects his agents and the Giants to begin negotiating soon.

Leake, 27, is eligible for free agency, and there’s mutual interest. Though he didn’t pitch overall (2-5, 4.07 ERA) as expected after he was acquired from the Reds, he threw a two-hit shutout against the Dodgers in his final start.

“I think for the most part, the entire season numbers will speak louder than one game,” said Leake, who was 11-10 with a 3.70 and career-best 1.161 WHIP in 30 starts.

Leake said he enjoyed his time with the Giants, whose needs and finances suggest they could make a strong pitch for Leake, who hinted geography could play a part in his decision.

“I grew up in San Diego. I do enjoy being on the West Coast,” he said.

Matt Cain, who pitched five scoreless innings Sunday, will have a chance to return to the rotation next year, joining Madison Bumgarner and Jake Peavy.

“I want to be right there with Bum doing what he’s been doing,” said Cain, who also praised the work of Leake and rookie Chris Heston. “If they go out and get a big guy, new guy, the more, the merrier.”

Posey the catcher: Buster Posey caught just twice in the final 15 games (both Bumgarner starts), largely because first baseman Brandon Belt was shelved with a concussion, but said he’s focused on catching in 2016.

“I want to do whatever (Bruce Bochy) and management thinks gives us the best chance to win,” Posey said. “I definitely still enjoy catching. That’s the spot I want to be — to my wife’s dismay.”

Briefly: The Giants expect to announce the signing of Cuban outfielder Eddy Julio Martinez, 20, to a $2.5 million bonus. He could open next season in Class A. ... Brandon Crawford was the stadium DJ, deciding everyone’s entry music, including George Kontos’ (“I’m Too Sexy”) in the ninth inning. “I think he needs to keep it, honestly. I don’t think he’s going to,” Posey said. “It does fit.” ... Marlon Byrd fell six plate appearances short of having his $8 million option vest.

John Shea is a San Francisco Chronicle staff writer.