Usually I agree with rlitman, but not in this case. Well, I agree that TIG (by someone competent) would be a #1 preferred choice to fix that.
The 'silver solder' that I am aware of would be something like Harris Stay-Brite. 4% silver and 96% tin. No nickel at all (not counting trace amounts).
Another would be Lucas-Milhaupt Silvabrite. Again, 4% Ag and 96% Sn.
https://www.lucasmilhaupt.com/EN/Products/SILVABRITE.htm
Both are food safe.
Want to move up (in temperature) from "soldering" to "brazing"?
Harris Safety-Silv 56, food safe. 56% Ag, 22% Cu, 17% Zn, and 5% Sn.
Lucas-Milhaupt Silvalloy 560. Same composition. Food safe.
https://www.lucasmilhaupt.com/EN/Products/SILVALOY560.htm
And there are other possible choices.
Lucas Silvalloy 401. 40% Ag, 30% Cu, 30% Zn. Food safe.
https://www.lucasmilhaupt.com/EN/Products/SILVALOY-401.htm
and more choices.
Yes, 'silver solder' can (usually) work on stainless steel. Double check the alloy composition or call/contact the alloy company to verify if what you are thinking of using is indeed food safe.
The food-safety checking ALSO applies to the flux you will use.
And you WILL need flux to successfully solder or braze stainless steel.
Note also that the 'silver solder' or silver brazing alloys are rather expensive. If you have to go and buy some. Safety-Silv 56 plain (not flux coated), $21 - $26 per troy ounce, depending on wire diameter.
example:
https://weldingsupply.com/cgi-bin/roundup.pl?buynow::::5631~~~~700
And then you have to get the required flux.
Clean the parts well with soap and warm water, dry well. Clean again right before soldering/brazing with solvent cleaner to make sure there is no grease or oil (careful with the solvents!). Flux the faying/mating surfaces, gently clamp the parts together, apply heat, apply soldering/brazing filler metal, let cool. Clean flux residue well. Clean (more like scrub) the heat discoloration or use appropriate stainless steel cleaner(s).
Wait a minute. It look like the spot welds pulled right through the cup wall.
You're in Morris County? I can't TIG it (no TIG machine

), but I could stainless MIG it back together for you. Clean up and smoothing/grinding/polishing the weld beads would be up to you.
