IANAM, but I know enough to be dangerous. I don't think Ni-Sn do anything interesting. So probably a teensy bit of solubility. A few microns versus a huge blob on a hot iron? Possible, I guess.
Don't have Ni-Sn or Ni-Ge, but Ni-Pb:
Cu-Sn form intermetallics, which helps with joint strength, but also hurts for brittleness. This, plus diffusion and alternating dissolution and crystallization, are what makes copper plumbing joints such an awful pain to separate if they've been overheated. For the same reason, electrical joints are best when they're made at just high enough temperature to work; which is fortunate for our components, which are usually made of resins that break down rapidly at soldering temperature.
There's a lot of interesting things in phase diagrams... Supposedly, you can dissolve a considerable fraction of zinc into molten iron. Making, I suppose, a ferrous brass, if you will (not that it would be brassy in any familiar sense). I don't know of any actual alloys that make use of this fact; I'd expect such an alloy is reasonably strong, much as brass is to copper. Processing such an alloy would be terribly annoying, seeing how volatile metallic zinc is, let alone at the melting point of iron. But, hey, someone, at some time, had to sit down and compose all these alloys in small percentage increments, melt them, and record their physical states!
Tim