They are now set to move into a tough Super Eight group including South Africa, India and Australia - if Ricky Ponting's side manage to qualify - but have at least escaped the ignominy of an early exit.
Sunderland were the livelier of the teams in the opening 20 minutes and first to the second ball against a side who still seemed to be suffering from the exertions and the disappointment of their midweek Europa League exit.
Togo coach Didier Six was still fuming at the decision of the referee to disallow his side's effort with the scores level at 1-1 and made a hasty exit from the press conference.
Burnley boss Owen Coyle, whose side enjoyed a famous run to the semi-finals of the same competition last season, was clearly disappointed with his side's exit.
The Buddies were looking to recover from their own Old Firm mauling, a 4-0 loss to Celtic, followed by a Co-operative Insurance Cup exit at the hands of First Division side Ross County.