Shadow home secretary Yvette Cooper said Mrs May's announcement on Article 8 would do nothing to address the failings in the UK Border Agency which meant fewer foreign criminals were being deported.
"The truth is this Government is deporting fewer and fewer foreign criminals every year because of failures in enforcement and administration," she said.
"Drawing up new guidance for the courts is sensible, and Parliament will need to debate the detail. But it isn't enough to sort out the problem.
"The Home Secretary needs to get a grip of the Border Agency and address the fundamental reasons why too many foreign criminals are not deported."
More top news
Overnight it will be cooler and fresher but most places will stay dry with a nippy start to Sunday.
X Factor contestant Raign seems to impress the Wembley audience with her own song even though Cheryl finds her "really annoying".
YouTube superstar Alfie Deyes got a sense of how far he has come when thousands of fans descended on his latest book signing in London.