I would talk less and do more, make them comfort being around me. :)
It won't be a one time thing so it is better that you don't.
why do you want them to stay?
is it because you don't want to be left alone? or do you not see yourself without them?
all relationships go through an array of struggles
if the roles where the other way around - and it was you who felt like leaving
WHAT DO YOU THINK THEY COULD DO TO CHANGE YOUR MIND?
its all about the circumstances of your situation-
WHEN PEOPLE MAKE UP THERE MIND IT'S ALMOST IMPOSSIBLE TO CHANGE THEIR MIND
there must be an important reason you need, desire and want each other's company-
without that all hopes are lost
I wish you Luck- and happiness
Don't try. If they don't want to be with you you aren't right for each other.
You can't really convince anyone to stay, but you can try. The only thing is to try to do is show your point of view.
Not, they have to find their own reasons to stay...else you could put them up with reasons they superficially agree to but might not be the right ones to stay...
Why would you want to convince someone. If they don't want to stay with you the relationship is doomed anyway.
You can't .. they have to make that choice all on their own.