Richard Torriani joined in 1929 by EHC St. Moritz to Davos. Meanwhile he took the nickname " Bibi " with him, which he had received as the youngest child in his family. From 1933 he formed the HC Davos together with Hans Cattini and his brother Ferdinand " Pic " Cattini the so-called « ni » Storm. The term ni - storm stirred by the common suffix -ni of the family name of the three players here. The " ni " Storm was for about one and a half decades as the parade line of HC Davos and the Swiss national team. As a player of HC Davos he won between 1930 and 1950 18 Swiss Championship.
His first appearance was Torriani, when he won at the Olympic Winter Games in 1928 in St. Moritz with the Swiss national team the bronze medal. He repeated this success in 1948, again in St. Moritz, this time together with its partners in the " ni " line. At the opening of the Olympic Winter Games Torriani had the honor to speak the Olympic Oath.
At the World Championships he won a time the silver and five times the bronze medal. 1935 and 1939 won the European title Torriani. In addition, includes five silver and two bronze medals to its trophy case EM. In the National Bibi Torriani played 111 matches and scored 105 goals. Torriani also participated in the Luge World Cup in 1957 partly in Davos and won with the single-seater the silver medal.
After his playing career, Bibi Torriani operated as a coach. Among other things, he was coach of Switzerland and Italy. His club teams as coach included the HC Davos and EHC Visp, with whom he won the 1962 Swiss championship title.
1997 Bibi Torriani was inducted into the IIHF Hall of Fame.