The last round of the 1976 season saw Mjøndalen beat SK Brann, a result which would have awarded them the league title if Lillestrøm SK had lost their game — which they did not. However, Mjøndalen's silver medals saw the team qualify for the 1977–78 UEFA Cup, where they lost the first round against Bayern Munich 0–12 on aggregate. After Mjøndalen's second silver medals in the 1986 league season, they were relegated the following season and were not promoted back to the top level until 1992. A highlight from the years in lower divisions was their meeting with German side Werder Bremen in the first round of the 1987–88 UEFA Cup. Mjøndalen lost 1–5 on aggregate, but their 1–0 win at home remain their only victory in UEFA competitions. After their 1992 top-flight comeback season, Mjøndalen was relegated, had financial challenges, and participated in the second, third and fourth tier of Norwegian football for a number of seasons.