No! They do not fit. Telemark ski's have different bindings and shoes, Alpine ski boots can be fixed in Alpine ski's only. cross country ski bindings and boots are completely different.
Are ski boots more important than skis?
Prioritize the Boots It may sound counterintuitive, but your boots are far more important than your skis. ... Try them on with the ski socks you wear on the hill, which helps prevent a common sizing pitfall. And find a good boot fitter, who can mold, melt, and tweak the fit as much as necessary.26 oct 2017
Can I buy skis and boots separately?
Megamum, you can buy skis and bindings separately, but usually you will be offered a "package" of skis and binding, with the bindings already fitted. Anyone buying skis should already have bought boots, so the shop should ask you to bring along your boots so they can set the bindings correctly.