In Norwegian, we have "isvann" - ice water - which can both mean water implied to be cold enough to feel like it has recently melted, or specifically water with ice in it.

If you're asking for isvann at a restaurant, you'd expect to get water with ice, not just very cold water.

But if you're talking about having gone bathing in isvann one spring, it specifically means in water that - whether or not there is actually ice in it - is cold enough that it might have recently melted.

(I'm a native speaker, but had to look up the precise nuance there to be sure I wasn't just making stuff up)