The Rebels, who won this corresponding fixture convincingly last season, came closest to breaking the deadlock and were denied by an incorrect offside flag with 25 minutes played. Lee Barney found the back of the net after Ryan Hope's shot had come back off the crossbar, but Slough were denied after the referee consulted his assistant.
The match had started at a fast pace, with Scott Harris working hard to charge down a clearance by goalkeeper Alex Archer, and his cross set up Lee Barney who could only put his shot wide.
Scott Harris lobbed over the bar after a long clearance beat the St Neots defence, and this was a tactic utilised to good effect by the visitors to try to beat the home side for pace.
Barney was at the heart of Slough's attacking threat, and again he broke away only to see his cross cleared just ahead of Lewis Putman, and another good move resulted in a last-ditch clearance.
Much of the play was in midfield though, and the closest Slough came before half time was a long-range free kick from Putman which was partially blocked and an easy save from Archer.
In contrast to the first half, St Neots emerged from the tunnel in the second half and enjoyed a good spell in which they forged chances to take the lead.
Mark Scott did well to save a well-placed header by Drew Roberts, and then the striker got in a shot from Josh Dawkin's pass which Scott reacted well to gather.
Later, Lee Clarke got above his marker to bring another save from Scott but Slough broke and Scott Harris headed over the bar from an inswinging corner.
Scott also saved at full length from Remy, but the final 20 minutes of the game settled down into a nervy affair with neither side looking to take too many risks.
As the game neared the end, Slough missed two great opportunities to win the match. First, Putman's accurate cross was headed straight at Archer by Gurkan Gokmen, with the ball scrambled clear. Later, Warren Harris headed over the bar from close range and Slough had to settle for a point when they will feel they deserved all three.
St Neots Town Line up
Alex Archer, Jamie Anton, Brett Longden, Adam Tann (c), Tom Ward, Danny Burns, Dan Schiavi, Peter Clark, Lee Clarke, Drew Roberts, Josh Dawkin. Subs: Remy Gordon (for Schiavi 55), Jordan Brown (for Dawkin 72), Charlie Coulson, Jordan Heywood, Evan Jeckells.