It should be easy enough on a Mig welder but an arc welder would be easier to buy the attachment
The wire feed motor is usally 24VDC the relay turns the wire on and off when you pull the trigger so using a pic should be possible
keeping it simple put your best Led Blinky program in the pic to run the relay - 2 led blinky if you need to reverse the motor
here's a link I found for a wire feed circuit for a mig welder to give you an idea of the wire feed circuit, it will be a little more complicated than the blinky led but it's the general idea, the stitch is the same as you repeatly pulling the trigger on and off you will still have to set the wire feed and heat setting's manually unless you want to really make thing's complicated
http://www.google.ca/url?sa=t&rct=j&q=&esrc=s&frm=1&source=web&cd=8&sqi=2&ved=0CHgQFjAH&url=http%3A%2F%2Fwww.astrosa.com%2Fn03%2Fspeed-control.pdf&ei=mkUJUMvsCOb00gG5wpHRAw&usg=AFQjCNEid2918xvmOkpFdixw-a86dTW9yQ&sig2=EYvpGjI9OuBIQoBq1I3L8w