I (

) have contacted old flames in two modes:
1 - with the confused and
unacknowledged intention of seeing if there was any chance of getting back together
2 - to warn that I have moved back into the neighbourhood and that we might meet up; which was interpreted as 1) above by the recipient.
Depending on how your wife feels about this, you
and your wife could arrange to meet with old flame. This should give you the chance to catch up, your wife the chance to learn more about you (maybe more than you'd like

!) and give a message to old flame that you are not available (which I presume to be the case).