Every now and then after a big rain these crop up in my basement. No obvious cracks or anything where they pop out of the unfinished concrete floor. I try to dispose of them without too much opportunity to shake of spores, and then douse the floor with bleach, but I also admire their ability to grow with no apparent nutrients.
That's a bolete, they grow in obligate symbiosis with the roots of living trees. Their mycelium can extend further than the trees root system so they bring nutrients to the tree and eat the sugars the roots produce.
This means they're probably not gonna go away unless something happens to tree, and even then they'll stick around for a while after it's gone.