1960 European Nations' Cup round of 16

It was contested by Czechoslovakia, the preliminary round winners, along with fifteen other countries that had received a bye.

The winners of each of eight home and away ties entered the quarter-finals.

Soviet Union won 4–1 on aggregate and advanced to the quarter-finals.

Austria won 6–2 on aggregate and advanced to the quarter-finals.

Czechoslovakia won 7–3 on aggregate and advanced to the quarter-finals.