The Indians failed to score in their half of the ninth and the game ended in a 7-7 tie.
Cleveland shortstop Asdrubal Cabrera departed in the fourth inning with a sore left leg. He walked off after tripling, then diving back on a pickoff attempt.
"He had a little pain in his leg," manager Manny Acta said. "He did it diving back. We'll know more tomorrow."
Smith surrendered a two-run homer to Michael Ryan and a tying RBI single to Ryan Mount in the ninth, setting up unbeaten Cleveland (5-0) for its second straight tie.
"It's spring training, so we left him in to see what he could do against a lefty (Ryan)," Acta said of the sidearming Smith, a right-handed specialist. "In the regular season, the closer is in there and we'd have some lefties available."
Mike Napoli had a three-run homer and a run-scoring double for the Angels.
Carmona struck out one in his first outing this spring. The right-hander, a 19-game winner in 2007, is seeking to bounce back from a poor 2009 during which he went 5-12 and was sent back to the minors for two months.
"He threw strikes and used all his pitches," Acta said. "That's what we want to see.
"We've stressed first-pitch strikes to the entire staff. We showed them actual numbers how the league does when guys throw first-pitch strikes."
Indians starter Jake Westbrook yielded three runs before getting an out, but said he felt better than he did in his spring debut Monday.
"I felt 100 times better as far as mechanics and rhythm," he said.
Westbrook missed all of last season recovering from Tommy John surgery in June 2008. The right-hander also had right hip surgery in 2008 and said he gets some soreness in that area after pitching, but his arm feels completely healthy.
"If anything, I'm a little too strong," Westbrook said after yielding four runs and four hits over three innings. "I've got to back off and not overthrow."
Angels starter Matt Palmer walked three in 1 2/3 innings, giving up three runs and three hits. Six Angels pitchers combined to walk nine.
The Angels were led by Bobby Mitchell, manager of their Triple-A team in Salt Lake City. Angels manager Mike Scioscia was with the other split-squad in Tempe against the visiting Chicago White Sox. ... The Angels have 28 non-roster invitees in camp, most in club history. ... INF-OF Brian Bixler and C Mike Redmond each had two of Cleveland's nine hits. ... Indians rookie 1B-OF Matt LaPorta is being compared by teammates to Hall of Famer Yogi Berra -- but not for his hitting. Both mangle English. Among "LaPortaisms" uttered by him and written on a list in the Cleveland clubhouse is: "It comes naturally to me. I just have to think about it." ... The Indians have added a "B" game against Cincinnati at the Reds' complex on Sunday.