Partick Thistle were knocked off the top of Division One and are without a win in their last three away games in the league after being held to a draw away to 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.
However, Andrew Haworth couldn't find a way past goalkeeper Scott Fox with his 83rd-minute effort from the right side of the area.
Dunfermline's 3-0 win over Cowdenbeath puts the Pars ahead of Thistle on goal difference at the top of the table.
: McGovern, Flynn, Dods, McGeever, Kingsley, Duffie, Murdoch, Alston (Jay Fulton 70), Leahy, Taylor, Weatherston (Haworth 58). Subs Not Used: Bowman,Smith,McGrandles.
: Fox, Stephen O'Donnell, Muirhead, Balatoni, Bannigan (Sinclair 29), Lawless (Elliot 75), Paton, Forbes (Doolan 62), Welsh, Erskine, Craig. Subs Not Used: Scully, Murray.
: Bobby Madden