Stars are bottom of the three-team log following a 1-0 loss to Black Leopards in their play-offs opener in Limpopo.
Leopards are top with four points, having drawn 2-2 with Cosmos at Vosloorus Stadium on the weekend.
"I don't believe it was a poor performance [against Leopards]," Mere tells KickOff.com.
"We scored a legitimate goal only to be unfairly disallowed. But we are capable of doing well and we believe we gonna do well against Cosmos.
"It's a very important game. It's gonna be a very difficult game as Cosmos is a good team with a great coach. We are playing at home and we need to get the maximum points to bolster our chances of staying in the league next season.
"A win will give us a fighting chance to go all the way to winning the play-offs. We want to win all our remaining games but obviously we gonna take each game as they come.
"A draw won't be good enough cos it will mean we gonna have to wait for other teams and we don't want that. A lose is a no-no, I can't even explain why."