Stuart McCall's side will now have to put their passports away for at least another year after a 1-0 defeat at the hands of La Liga outfit Levante.
Having been eliminated 5-0 on aggregate in the Champions League qualifiers by Greek side Panathinaikos, a similar outcome appeared to be on the cards as Motherwell arrived at the Estadio Ciutat de Valencia two goals down from the first leg and without several key players.
But despite losing their Europa League play-off second leg the Lanarkshire club were able to walk off the park with their heads held high having competed well, and Lasley believes the Fir Park club have not let anybody down over the Euro campaign.
He said: "If you look at the results on paper then it might not look great but I think the games have been a lot closer than the scorelines suggest.
"The only tie we feel we didn't perform as well as we know we are capable of is the home game against Levante and we knew we didn't do well enough against them at home.
"Coming over here, missing some of our more experienced players and playing a team of the quality of Levante at their stadium, a lot of people might have looked at the match and thought we might find ourselves on the wrong end of a doing.
"But that wasn't the case. The young lads who came in played well and it was a good, hard-working team effort so we can be pleased with how we played on the night.
"That's what the manager said to us at the end of the game as he gathered us around on the pitch at full-time."
There wasn't a great deal between the two teams over the course of the 90 minutes.
Levante took until the 72nd minute to move ahead when Theofanis Gekas steered Juanlu's cross past Motherwell keeper Darren Randolph's near post to hand his team a 3-0 aggregate victory.
But it could have been a completely different story had Michael Higdon's goal after just three minutes not been ruled out for offside.
"I think Michael believes he was onside," said Lasley. "Certainly, it would have been an extremely close call and who knows what would have happened had it been given. Jonathan Page says he might have been offside and it was possibly given against him rather than Michael.
"But the game was just a few minutes old and it would have been a wonderful start."
Lasley now wants his colleagues to put thoughts of Europe to the back of their minds and focus on trying to climb the SPL table, starting at Inverness.
"It's back to the bread and butter of the SPL for us on Sunday," he said.
"This was our reward for playing well and finishing third in the table last season and it would be great if we could do just as well again this season and quality for Europe.
"But there will be a lot of other clubs thinking the same. So it's a case of focusing on domestic matters again and seeing where it takes us."