Fans headed to the airport after the game to wait for their team to arrive in the middle of the night and join the party.
Greece defeated visiting Liechtenstein 2-0 as Dimitris Salpingidis scored in the seventh minute and Giorgos Karagounis added a goal in the 81st.
Russia won Group F with a 1-1 draw at Azerbaijan as Roman Shirokov scored in the 15th. Portugal finished a point back after defeating visiting Luxembourg 3-0 on goals by Silvestre Varela, Nani and Helder Postiga.
Italy, which already had clinched its place at Brazil 2014, had a 2-2 draw with Armenia at Naples. Alessandro Florenzi and Mario Balotelli scored for the Azzurri.
After securing top spot in its group last week, Germany rallied for a 5-3 win at Sweden with Andre Schuerrle's second-half hat trick following goals by Mesut Ozil and Mario Goetze.
A 2-1 win by Chile over visiting Ecuador earned both nations berths. Alexis Sanchez scored for Chile in the 35th minute and Gary Medel added another three minutes later, while Felipe Caicedo scored for Ecuador in the 66th.
