He later played a short period for Widzew Łódź, then going on a trial at the Israeli club, Hapoel Be'er Sheva, but failed to get a contract.

As Lundberg suffered a severe injury in 2011, Žvirgždauskas had to pair up with rising talent Richard Magyar.

In 2006, he received a one-month ban after assaulting IK Brage forward, Mats Theander, in a friendly match.

[6] He however returned to the national team in 2011 for a friendly against Poland and was an unused substitute in the UEFA Euro 2012 qualifying match against Spain at home.

[8] In every league he has played he has used nicknames rather than his own last name due to pronunciation difficulties, in Lithuania he was called Žvirgždas, in Poland Zvirac and in Sweden Zvirre.