If I understand, you're soldering two pieces of sterling with hard solder and the solder doesn't flow? The first thing that comes to mind is your torch/flame isn't large enough and you're spending way too much time trying to heat up your piece. Silver is a very good heat conductor so you have to work fast ' ish.
I would flux your pieces, crank up the heat, heat from below (if possible), but heat the entire piece - the largest piece is where your heat should be directed, use the tip of the blue flame - once the flux finishes bubbling - put your solder in place and finish. Don't be afraid of the heat/torch - crank the heat - but keep it moving, don't hold your flame in one position. Again warping means you're spending too much time, get in and get out.