The only song that made it to the White Album with Paul on drums was Back in the U.S.S.R.
Additionally, Paul also played drums on Martha My Dear. Ringo was around, but obviously he was needed elsewhere at the time.
And GW#1 is right, he also played the drums on The Ballad of John and Yoko. This was in 1969, however, not during Ringo's momentary leave.
Actually, John and Paul played everything on that song, and completed it in a single day. This is interesting, considering the way their relationahip was going by 1969.