England had to settle for a 0-0 draw against Slovakia although that was enough for Roy Hodgson's team to reach the knockout phase by finishing second in Group B behind Wales.
England dominated the match but their failure to beat Slovakia, who came third and should also go through to the last 16, means they will face the runners-up in Group F.
England made six changes and their new-look team created several chances, with Jamie Vardy, Adam Lallana, Nathaniel Clyne and substitute Deli Alli having efforts to break the deadlock on Monday (Tuesday AEST).
Despite the roar of their fans, who vastly outnumbered Slovakia's in the St Etienne stadium known locally as the cauldron, they could not find a way through the Slovak defence.
England have five points, behind Wales, who beat Russia 3-0, on six, and will play their last 16 tie in Nice on June 27.
If England had finished top, they would have played a third-placed team in Paris two days earlier in a location much closer to their training base which would have suited Hodgson.
Slovakia, on four points, must wait to see if they go through as one of the four best third-placed teams.
Hodgson took a major gamble by revamping the side that beat Wales 2-1 last Thursday, including resting captain Wayne Rooney, and saw his team make a bright start.
Vardy posed a constant threat in the first half and full back Clyne, replacing Kyle Walker, regularly troubled the Slovak defence with probing runs down the right wing.