It will be a journey into the unknown, with Liverpool having never faced any of their group A opponents in a competitive fixture before.
Anzhi are the side owned by billionaire Suleyman Kerimov, managed by Guus Hiddink and captained by Samuel Eto’o. They also have former Blackburn captain Chris Samba and Chelsea midfiedler Yuri Zhirkov.
Udinese finished third in Serie A last season, they play at Stadio Friuli, which holds 30,000.
Young Boys also finished third, in the Swiss Super League. Their stadium, Stade de Suisse, was built in 2005 in Bern and has a capacity of 32,000.
Liverpool saw off Scottish side Hearts 2-1 on aggregate to progress to the group stages.
Hapoel Kiryat Shmona