Daily Mail reported that the recall notice was issued following shattering reports of five such bottles in customers' wine racks. However, no injuries were reported.
The glass break scare has costed the world's oldest wine club approximately £145,473. Prosecco bottles that have been affected include lot numbers L15S051, L15S092, and L145322.
The Wine Society PR manager Ewan Murray was quoted by the newspaper as saying: "In the interests of safety the Wine Society has recalled three batches of The Society's Prosecco. We have had five reports - out of 15,000 bottles in three production lots - of a bottle of the Society's Prosecco shattering while sitting in our members' wine racks.
"There has been no injury, but as a precaution we have taken the decision to recall all bottles of the wine. Most of the bottles will already have been consumed but in the interests of safety of our members, and as our duty of care, we have asked all recipients not to store the wine any longer, but to return it to us.
"This is a necessary precaution to undertake while we look for the cause of this potentially dangerous situation."
Meanwhile, the company has also removed Prosecco from its website as a precaution, which is available by mail order only at £9.50 per bottle.
Founded in 1874, the wine club's full name is The International Exhibition Co-operative Wine Society and is owned solely by its members and trades only with them.