Nicolas Mahut and Pierre-Hugues Herbert won the doubles to give France an unassailable 3-0 lead.
Australia went 3-0 up on the Czech Republic and next face the USA, who beat Switzerland - who were missing Roger Federer and Stan Wawrinka.
Serbia also progressed on day two as they went 3-0 up on Russia.
Britain lead Canada 2-1 heading into the final day in Ottawa, with the three remaining World Group first-round ties also to be decided on Sunday.
Champions Argentina, without Juan Martin del Potro, are 2-1 down at home to Italy; 2015 runners-up Belgium lead Germany 2-1 in Frankfurt; and Croatia have taken a surprise 2-1 lead over Spain, missing Rafael Nadal, in Osijek.
Great Britain's reward should they beat Canada will be a Davis Cup quarter-final against France, who saw off Japan with a day to spare in Tokyo.