Brady’s contribution followed a first-half howler by his central defensive partner Nathan Collins, who gifted the Finns the opening goal when his woefully hit attempted backpass allowed Joel Pohjanpalo in to score.
The 32-year-old played a prominent part in the Republic’s Euro 2016 campaign but injuries have played a part in his failure to re-establish himself on a consistent basis under recent managers.
“All you can do is get your head down and work hard and that’s what I’ve been doing,” added Brady.
“I’ve got game time under my belt at club level, I feel fit. I’ve had a fair share of injuries over the years, that hasn’t helped.
“But I will always continue to work hard if it gives me half a chance of getting back and playing in a green jersey I’ll give everything I have.”
The Republic of Ireland travel to Athens on Tuesday to face Greece, who beat England 2-1 on Thursday.