Partick are without a win in their last three league away games after being held to a 0-0 draw at Falkirk.
The hosts remain without a home win this season, but will be happy with their efforts as they extended their unbeaten run to six games and kept a second successive clean sheet.
Falkirk goalkeeper Michael McGovern saved Christopher Erskine's 25th-minute header and Sean Welsh's effort from the edge of the area in a quiet first half.
McGovern was called upon again to save from Walsh in the 66th minute before he held well from Steven Craig's close-range effort 11 minutes later.
Despite spending the majority of the game defending, Falkirk had a chance to steal the three points late on, but Andrew Haworth couldn't find a way past keeper Scott Fox with his 83rd-minute effort from the right side of the area.