Over the last 35 years I have halfsoled a lot of frizzens.
I use a piece of worn out file (lots of those around my shop)
I grind the frizzen face as flat as I can leaving a little lip at the bottom edge about a 1/16 of an inch wide. I grind all the teeth of of one side of a chunk of file that is a little larger than the frizzen face, being careful to not get it any hotter than I can hold on to with my bare fingers.
I attach the two pieces using 350 degree soft solder. I Tin the frizzen face well with soft solder. I use lots of flux on both pieces, clamp the two pieces together with the file piece shoved up as tight as I can get it to the little lip I left on the frizzen face. Then I heat the front of the frizzen with a propane torch, slowly just until the solder melts. I add as much solder as the joint will take and allow it to cool. Then, I carefully grind the edges to the shape of the original frizzen, and lastly, I grind the radius that I desire on my new frizzen face, being careful all the time to not get the part any hotter than I can hold in my bare fingers....
My frizzens always come out good using this method and they throw white hot sizzleing sparks that will dance around in the pan and sizzle all the way to the ground... (watch out for forest fires
)
Oh, by the way, that little lip is to keep the half sole from ever slipping downward from the shock of being constantly hit with the flint... I actually had one that slid a small amount, just enough to keep the frizzen from being tight against the pan, back before I started doing this.