People tend to underestimate how cold it gets in the interior of countries generally seen as the "sunny Mediterranean" - from Croatia, Montenegro, Albania and even Greece.
And Spain. Bring these "sunny Spain lovers" to North/Inner Spain in Winter. Watch them running away as if it were some kind of weird disease.
Also, spotting the typical tourist climbing the Picos de Europa range in sandals is not weird. What's weird if he/she makes it alive... or without frozen fingers or toes.
There are glaciers on Kilimanjaro or South American mountains ie in Ecuador which are very close to equator, its just a question of altitude and given microclimate.
If you want it put more concretely, you can travel to Northern Europe and go look at the exposed bedrock that has grooves all over in the same orientation, from when the glaciers last retreated from that area. They're at sea level. Mountain glaciers are not really what this discussion of glaciers is about.
