In his league debut on 20 April 1962 he scored the first two goals as Basel won 4–2 in the home game at the Landhof against Biel-Bienne.
A well-documented curiosity was the fact that during the winter break of their 1963–64 season the team travelled on a world tour.
This saw them visit British Hong Kong, Malaysia, Singapore, Australia, New Zealand, French Polynesia, Mexico and the United States.
First team manager Jiří Sobotka together with 16 players and 15 members of staff, supporters and journalists participated in this world tour from 10 January to 10 February 1964.
Club chairman, Lucien Schmidlin, led the group, but as they arrived in the hotel in Bangkok, he realised that 250,000 Swiss Francs were missing.
[4] In the second half of the 1964–65 Nationalliga A season Blumer moved to Chiasso, playing 14 games and scoring 3 goals.