Goalkeeper Ian Roberts was the star as Wodonga Diamonds made it three straight wins on Sunday.
Luke Behrends scored the only goal against Cobram, a glancing header from Jarrod Anderson's cross but it was late heroics from Roberts which clinched the 1-0 win.
"Cobram had a few chances towards the end but Ian was pretty amazing in goal," Diamonds coach Daniel Griffin said. "A lot of the win is owed to him.
"It wasn't the best game we've played but with a younger group, it's important the guys learn sometimes you have to win ugly and we did that.
"Cobram kept coming at us, but for 70 minutes we were good value."
Albury United moved top with a stunning 6-1 win away to previous leaders Myrtleford, who had Jayden Vescio and Daniel Kioses sent off.
ALSO IN SPORT:
Elsewhere, Melrose fought back from 4-0 down to draw 4-4 with St Pats, while Albury City blew a 3-0 half-time lead against Twin City as their game also finished 4-4.
Our journalists work hard to provide local, up-to-date news to the community. This is how you can continue to access our trusted content: