The Candystripes couldn't beat St Patrick's Athletic, while Institute recorded a comfortable win against Moyola
Derry City and St Patrick's Athletic's entertaining match finished in a 1-1 draw.
The game was full of chances for both teams but only Rory Patterson and Keith Tracey made full use of them.
Both goals came inside the first half.
Institute meanwhile kicked off their new season with a comfortable 3-1 over Moyola on Saturday.
Michael McCrudden, Sean McCarron and Aaron Harkin all made the score sheet.