Evan Reed, a former Marlins prospect, threw a 95-mph fastball that struck the helmet behind Solano's left ear.
On Sunday morning, Solano said he was free of concussion-like symptoms, but he felt a little woozy when moving his head quickly.
"The doctor said, I am OK," Solano said. "But when I move too quick, I feel something. It's not a concussion."
Solano finished his season batting .249 in 102 games with three home runs, and 34 RBIs.
He will enter Spring Training either competing for a starting job or as a utility player.
Ed Lucas started at second base on Sunday.
Joe Frisaro is a reporter for MLB.com. He writes a blog, called The Fish Pond. Follow him on Twitter