Although there were long periods when Thame had more of the play they were unable to score.
The Thame squad contains some promising players but after a period of disappointing results, they seem to have lost confidence in their ability to win games.
The opening exchanges were fairly even.
Wallingford went ahead in the 15th minute when Danny Leggett made a good run into the Thame penalty area, beat two Thame defenders, and laid on a square pass to the unmarked Abdouli Taha for a five yard tap in.
Thame countered and, following a good move, a strong shot from James Tripp forced a superb save from the Wallingford goalkeeper, John Shea.
In the 38th minute Thame keeper, Paul Searl, came out of his goal to collect a ball crossed from the left.
Uncharacteristically, Searl mishandled the ball and dropped it into the path of Aaron Baker who finished well from eight yards.
Thame had the majority of the possession in the second half and put some good moves together.
Their best chance came when Alex Cairns hit a strong shot from 15 yards which forced another excellent save from Shea.
Apart from the occasional breakaway, Wallingford did not really threaten the Thame goal in the second half and they seemed content to defend.
The strategy worked and Wallingford succeeded in snuffing out any Thame chances and held out to collect the three points.
Wallingford are quite a physical team who conceded numerous free kicks in their own half.
Thame, frustratingly, totally wasted these by blasting them off target.
Thame United: Searl, Tripp, Watkins, Kitson, Graves, Connelly, Moore, Cairns, Reading, Jack, Smith (Johnson).
Result: Thame United 0
AFC Wallingford 2