Joint-manager Jason Lee felt Boston United did more than enough to win their FA Cup tie against Kidsgrove Athletic which ended in a 0-0 draw.
Marc Newsham, Ryan Semple, Danny Sleath and Lee all had good chances but the Pilgrims were unable to find a way past the Evo-Stik First Division South side.
"I'm disappointed we didn't get the job done," Lee told BBC Lincolnshire.
"We had more than enough opportunities to win the game and you would like to think we could put one of them away."
He added: "On another day we will, but we haven't hit the net and we have to hold our hands up and say we can do better."
After the stalemate at York Street the Pilgrims travel to Kidsgrove for their second qualifying round replay at 1945 BST on Tuesday, 4 October, with the winners draw at home to United Counties League side Long Buckby in the next round.