Hakan Hayrettin’s side went ahead after eight minutes through captain Jerome Binnom-Williams (pictured), who hit a free-kick from the edge of the box beyond opposition keeper Laurence Shala.
The visitors equalised six minutes later when a corner allowed midfielder Ryan Hervel to score.
Michael Chambers restored Dulwich’s lead in the 24th minute when he met a corner to head beyond former Crystal Palace youth team keeper Shala.
Potters Bar brought the scoreline level with 15 minutes of normal time remaining after Temi Babalola bundled the ball past Dulwich stopper Ravan Constable from close range.
Dulwich host Bognor Regis at Champion Hill on Saturday.
Bromley moved up to second in the National League table on Saturday after a 4-1 win at Hartlepool.
A brace from Michael Cheek and goals from Ben Krauhaus and Olufela Olomola saw the Ravens get back to winning ways after a defeat against Aldershot in their previous outing.
Andy Woodman’s side are nine points off league leaders Chesterfield heading into Saturday’s home clash against Rochdale.
Cray Valley PM moved up to sixth in the Isthmian League South East Division after a 2-0 win at Ashford United with first-half goals from Michael Ademiluyi and Kyrell Lisbie.
Fisher claimed a dramatic 3-2 win against VCD Athletic on Tuesday night to move up to ninth in the SCEFL Premier.
The Southwark-based side found themselves 2-0 down in the 36th minute, but they pulled one back instantly through Manny Shoderu.
Flavio Juma scored two second-half goals to complete the turnaround.
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