Ben Ryan's England beat Samoa 19-17 but slipped into the Bowl competition after losing their final Pool C game 22-21 to Portugal. They will now face Argentina and must do so without Tom Mitchell, who broke a leg against Samoa.
Ryan said: "We can't blame anyone else. In the first half Portugal got too many points that we gave them and we should have been more clinical.
"Now we've got to show a bit of resilience and spirit. None of us wants to be in the Bowl. We need to get momentum and show we've got a bit of character."
Phil Greening's Scotland were beaten by Kenya, Fiji and Spain and face a Bowl quarter-final against Australia, leaving Wales as Britain's only representatives in the quarter-finals proper.
Paul John's team lost 14-7 to New Zealand but beat Argentina by the same scoreline and hammered Russia 22-5, thanks to a Rhys Shellard hat-trick, to set up a last-eight clash with Samoa.
Portugal and Fiji advanced to face New Zealand and France respectively, while the remaining quarter-final is between Canada and Kenya.
Gilbert has released a new line of rugby cleats. The Gilbert Virtuo 8S is part of the exciting new product. Check it out.
The entire All Blacks apparel line has been updated for 2013/14. Check out the New Zealand All Blacks polo.
The Nike Tiempo is a solid rugby cleat and one of few styles still made from full-grain natural leather.
The Gilbert Blitz 8S rugby cleat is a great cleat at a great price of $69.99. Get a new pair of cleats today.
A cool looking all black rugby cleat with the high performance adidas is known for. Get in the Gear!
Wear the crest of the British and Irish Lions on your t-shirt. A great look for the summer.
The All Blacks Performance t-shirt is black with hints of blue from the training jersey. Very Cool.
The New Zealand All Blacks training jersey for 2013/14. Get in the Gear!
The USA Rugby Pro Alternate rugby jersey is perfect for any fan of the Eagles. Get yours to wear during the summer Test matches.
The NEW All Blacks 2013/14 jersey has arrived at World Rugby Shop. Dare to wear the colors of the All Blacks.