Faroe Islands boss Lars Olsen is expecting a Republic of Ireland backlash as manager Giovanni Trapattoni fights to save his job.
Disappointed
Rogvi Baldvinsson had given the Faroes the lead just before the hour mark and it needed Alexander Kacaniklic and Zlatan Ibrahimovic to avoid Swedish embarrassment.
Olsen said: "Just after the game, the players were disappointed because we deserved a point, we thought.
"But after that they knew, and also heard from everyone here on the Faroe Islands, that they had played a good game and the mood came up quickly later in the evening."
Olsen knows all about upsets having been part of the Denmark squad that won Euro 92 and when asked about his ambitions, he said: "To be better as a team. I don't look at the results or the points because we will not be the favourites in any game.
"But to improve ourselves over the next two years, to be more confident with the ball and to come closer to very good results - and a good result for the Faroe Islands is, of course, to win a match.
"Every game - and also tomorrow against Ireland - when we go on to the pitch, I think we can win.
"There's '92 and also I played at Brondby and we were in the semi-final of the European Cup with a small Danish team, so everything can be done."