Bencic and Paul coasted through the first set but won a total of just 12 points in the second set as the match went into a tiebreak.
Poland battled past Switzerland 2-1 in the United Cup final on Sunday to banish the pain of title-round defeats in the previous two editions and secure a long-awaited maiden triumph in the season-opening mixed-team competition.
Davis Cup: Bold move by India, captain Rajpal fields Dhakshineswar against Switzerland
Dhakshineswar shines on debut, Nagal makes winning return; India take 2-0 lead against Switzerland
India progressed to the Davis Cup Qualifiers for the first time ever after Sumit Nagal tamed aggressive teenager Henry Bernet in the first reverse singles to script the team's 3-1 win over Switzerland.