London - Chelsea
Blues boss Jose Mourinho moved for Amelia to ensure he has experienced back-up as cover for Asmir Begovic, with first-choice Thibaut Courtois currently out injured.
The 33-year-old, who won nine international caps between 2005 and 2009, began his career with Roma and also spent four years at AC Milan, before joining Serie B side Perugia last season.
He had been training with the Blues at their Cobham headquarters and impressed enough to earn a deal.
Academy keeper Jamal Blackman, 21, who has yet to make a first-team appearance, has been on the Chelsea bench in recent weeks.
Courtois is expected to be back in action in December after suffering knee ligament damage in training last month.