[3] Top tier club FC La Chaux-de-Fonds took advantage of the situation and signed Füri with a semi-professional contract.
He played his domestic league debut for his new club, again as defender, in the away game on 5 November 1961 as Basel were beaten 0–1 by Young Fellows Zürich.
[5] In the 1962–63 season Füri was member of the Basel squad who won the Swiss Cup by beating the favourites Grasshopper Club Zürich in the final at the Wankdorf Stadium by 2–0.
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.
Peter Füri was a qualified electrician and worked up until his retirement as head of department in the distribution center for Coop in Pratteln.