|Born|| July 23, 1976
|Curling club||Basel-Regio CC, Basel|
|Second||Markus Eggler (skip)|
|4 (2003, 2006, 2007, 2009)|
|5 (2002, 2005, 2006, 2007, 2009)|
Stöckli began a successful curling career at the junior level, winning a bronze medal at the World Junior Curling Championships as an alternate in 1994. In 1996, he was the Swiss skip and they won a silver medal, losing to James Dryburgh of Scotland. In 1997 Stöckli won the gold medal defeating Perttu Piilo of Finland in the final. Stöckli ended his junior career with a bronze in 1998.
Stöckli was vice on the Swiss team (skipped by Andreas Schwaller) that won the 2006 European Curling Championship.
Stöckli announced his retirement from curling in 2010.
Claudio Pescia, Third
Pascal Sieber, Second
Marco Battilana, Lead
Simon Strübin, Alternate
Jan Hauser, Third
Markus Eggler, Second*
Simon Strübin, Lead
Toni Müller, Alternate
- Note: In several competitions Markus Eggler has skipped the game as a Second with Ralph Stöckli throwing fourth stones.