The Pink and Blues were in action on both Saturday and Monday but came away with one point from the six available as their season continues to get off to a slow start.
With a dozen games gone in their campaign in the Ryman Premier Division, Hamlet have won two contests, lost two, and drawn their remaining couple of games.
On Monday Dulwich appeared to heading for their second defeat in three days after they fell behind against Hendon, when Spencer McCall netted after nine minutes.
But Tomlin was on hand just past the hour mark to score the leveller that ensured Hamlet had something to show for their weekend efforts.
That goal from Tomlin was his second in two games as the striker was also on target when Canvey Island came to visit Champion Hill last Saturday.
But his goal only cancelled out Canvey’s opener, scored by Harrison Chatting, and seven minutes from time Ryan O’Rawe netted the winner for the Essex side enabling them to pick up all three points.
After the weekend action Hamlet find themselves in eleventh place in the table, ten points behind early pacesetters Leiston.
This weekend Dulwich start their FA Cup campaign when they travel to Sussex to take on Pagham FC.
The Southern Combination Premier Football League side, who are based in Bognor Regis, operate at two levels below Hamlet on the non league ladder.
They reached the First Qualifying round of the competition by defeating Canterbury City 2-1 in a contest that went to a replay.