When you said that you were seeking professional advice for the repair - I waited with interest to see what professional advice you sought - and received.
I think I may have been mistaken - as to what you were asking.
In my opinion - you have options.
Probably the easiest of all repairs to make - is when a complete figure is detached ( or becoming that way), from the base. A quick repair is always - "Glue it back again" - and - it will work - for a while - or maybe forever - as Grant suggests - depends on what you want to do with the figure.
In this case - you can see that the flag carrier is always going to be somewhat of a problem. The flag is canted over to one side - the weight of the flag will therefore exert a sideways pressure on the figure at it's base - the feet. Also - three figures on the same base can sometimes distort the base. I would not have them all on one base myself - but - if that's the way they are - that's the way they are. Unless you want to be radical - and either chop up the base into three - or rebase each figure. I realise that some folks are very keen to keep things as they were first made - for all sorts of reasons.
So - let's assume you keep them as they are - on one base.
I would recommend drilling up through the base at the heels of each figure - and on up into the legs of each figure - very carefully, of course, so you don't disturb the paint. You will need to retouch the paint - but underneath the base - where it will show least. Then insert a fine steel or brass wire pin - coupled with a good epoxy resin glue - as Brad suggests. Coat the wire and the underside of each foot, doing them one at a time - and wiping off the excess glue each time. That should do it - they will be much more stable then.
In my strictly amateur opinion, of course. Your choice.
johnnybach