(No, we don't know anyhthing about the band. Hopefully someone who does will leave a comment.)
UPDATE August 2:
Over on the dandom.com BlueBook JungleMusic posted the following:
Tivoli was a working group in Reykjavik back in the 70's, playing dance music, mostly covers. Two of the members in the video, the keyboardist and the guitarist (well, one of them) went on to form a fusion group called Mezzoforte in the 80's. Mezzoforte still tour and show up in places like Indonesia, Japan and Norway every once in a while.