Paul, who entered Saturday batting .500 in 10 at-bats, has two hits as a pinch-hitter, including a ninth-inning single Friday.
"[I'm] very pleased," Reds manager Dusty Baker said. "I heard about Paul years ago from Gene Cline on the Dodgers. I liked him with the Pirates, especially off of the bench and playing late-inning defense. He was a guy I tried to manage away from late in the games with right-handers. He could do some things and is much needed on our team in that situation."