A cross party group of peers lead by former Conservative defence minister Lord King attempted to insert the controversial Communications Data Bill in to the counter terrorism bill currently before the upper house.
After Monday's debate the amendments were withdrawn.
The Communications Data Bill has been widely criticised as a "Snoopers' Charter" for its blanket approach to surveillance.
Pirate Party Leader Loz Kaye said:
"It's good news for the British people that this outrageous attempt to sneak in the Snoopers' Charter by the back door has...