what comes after round of 16

After the round of 16 comes the quarter-finals. In a knockout tournament, the usual order is round of 16, quarter-finals, semi-finals, then the final.

If you want the full bracket, it looks like this:

Stage	Teams left
Round of 16	16
Quarter-finals	8
Semi-finals	4
Final	2

In some tournaments there is also a third-place match after the semi- finals, where the two losing semi-finalists play each other.