You can buy a soldering machine that uses electricity to melt the solder - much as an arc welder - for $250
http://www.watchlume.com/Dial-Foot-Solderer Bergeon also sell one but at much higher cost. This is probably the safest way to solder dial feet as far as I am aware. It might be worth finding a watchmaker who uses one of these to repair the dial rather than compromise the originality of your watch.
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