According to midfielder John McGinn, reaching Euro 2020 must "be the start" for Scotland in big finals after they "didn't do ourselves justice" this time.
On a somber night at Hampden, Steve Clarke's side needed to win to go to the last 16, but they were thrashed by Croatia, the 2018 World Cup finalists.
Scotland's men have never progressed past the group stage of a major tournament, having failed to qualify since 1998.
"We've got to use this to drive us on to more tournaments," McGinn told ITV.
"They're an excellent team, we knew that. We were ignoring all the noise that they were an aging team and slow. They weren't, and they have one of the best players in the world in Luka Modric.
"The World Cup is our aim now. You look around the dressing room and we've got a good age group, determined guys and we feel as if we didn't do ourselves justice.
"We need to become a nation that is used to it, we need to become braver and better. But what we have done is create history coming here and we want this to be the start, not the end."