Stephen Glass is confident Aberdeen will finish the job off by beating Breidablik at home to book their place in the Europa Conference League play-off round.
Early strikes from Ramirez and Lewis Ferguson put the Dons in a great place but Breidablik bounced back to level before the American sealed it with his second of the game.
Glass, who praised two-goal star Ramirez, knows there is still to be done before Aberdeen can even think of the play-off round but is hoping his side will be helped by a sold-out Pittodrie on Thursday.
The winners will take on AEL Limassol or Qarabag, who drew in Cyprus, for a place in the group stages.
Glass, who now turns his attention to Sunday’s trip to Livingston, said: “Any time you go away in Europe and win you are happy. I still can’t find the word but we let them back in the game at 2-0 up when it should have been a little easier.
“They are a good team but our play let them get back into the game.
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“I’m pleased with the response in the second half to the change in shape and the substitutes so we’re happy.
“We’re taking it back to Pittodrie with a big crowd hopefully and a lead which I don’t see us giving away.”
The Dons scored their first two goals from set plays and that was a weakness that Glass saw from the Icelanders.
He confirmed: “We felt we could get joy there. The first one wasn’t down to aerial height. We had talked about it during the day. We didn’t have the chance to work it on the grass but the players showed a great understanding of what we wanted to do.
“Allan (Russell, assistant) felt they would be aware of our aerial prowess so let’s try something different as they would be guarded against it and it worked.
“The second one was great movement and a great finish as well so we’re really happy.
“We’re especially pleased for Allan as he puts a huge amount of work into that side of the game so to get the rewards in a big game is great.”
Aberdeen lost a two goal lead and Glass acknowledged his players looked tired.
He explained: “Anybody watching it could see the players looked a little leggy. The pitch was soft and with the travelling too you could see it. It’s an excuse but not one we want or need.
“Their tails were up at half-time but the response was great in the second half. We took the sting out of it, scored a goal really early and controlled the game from there.
“We had to change something and the changes were tactical. Our two young full backs were given a little bit of help by putting Declan in the centre of defence and it allowed us to have possession further up the pitch.”