In the 1939–40 season were the champions of the Saarpfalz region in the Gauliga Südwest, however could not advance to the finals of the German Championship, after losing 7–4 on aggregate to Kickers Offenbach.
FC Kaiserslautern beat Waldhof Mannheim 7–1 with Baßler scoring a goal.
FC Kaiserslautern could not progress further, as they lost 9–3, on aggregate, to a Schalke 04 side that boasted the likes of Fritz Szepan and Ernst Kuzorra.
[2] Baßler was drafted into the navy in 1942 and would play as a war-guest for Holstein Kiel for two seasons.
The following season Baßler scored another 45 goals, equal to Ottmar Walter.
Baßler played his last competitive game for the Red Devils in the final round of 1957 on 9 June in Hannover, against the defending champions Borussia Dortmund, when Lautern lost 3–2 in front of 75,000 spectators, he had to deal with the 23-year-old Borussia left winger Helmut Kapitulski.
Baßler was employed as a construction mechanic by the sewing machine manufacturer Pfaff in Kaiserslautern and, after his return from Mannheim, also ran a lottery and pools acceptance point.