Oooo I like these! 4 answers and 5 opinions on this one?
1- engines don't 'just flame out'. Why did it fail? Was it something you did (fuel starvation, not turning on icing)? If so relight and continue. If it 'just failed', there evidently must be a problem and could fail again, so leave running and land at nearest suitable.
2- depending on how severe the problem is, burn down to say approach + go around + circuit + (500-1000)kgs. What do you think- 2000kgs? Maybe worth keeping 760kgs minimum in each wing although that is a ground requirement.