Orlandi's signature will keep him at Swansea City for another two seasons with the deal expiring at the end of the 2012-13 season.
Chairman Huw Jenkins told BBC Sport "Brendan [Rodgers] was keen to ensure Andrea was retained as an important member of the squad
"He has grown into the squad over the past few years and his technical ability is well suited to the Premier League," added Jenkins.
"We are delighted that Andrea has decided to extend his contract, and we look forward to seeing him play his part as the club looks to make an impact in the Premier League.
"Improving and extending certain players' contracts well in advance is something we can know look into thanks to our Premier League status
"Over the last few years we have been asked by supporters why the club did not do it, but the simple explanation is that we were not in a financial position to do so.
"The budget was set to compete in the Championship, so any further money spent on securing certain players' contracts earlier would have jeopardised certain signings along the way.
"An example of that is Fabio Borini. We budgeted well and that allowed us to add a quality player like Fabio to the team for the final push.
"I think it is important to explain this to everyone connected with the club, so we are all on the same page.
"So we will be looking to sit down with the likes of Joe Allen, Nathan Dyer and Jazz Richards,and ensure their contracts and cover our assets in advance."