Tim Matavz opened the scoring in this Europa League tie at the GelreDome on 33 minutes, but Marco Parolo leveled six minutes after the restart.
And despite Brian Linssen restoring Vitesse’s lead a further six minutes later, Ciro Immobile (67) and Alessandro Murgia (75) both scored to hand Lazio the points, and second place in Group K, behind Nice, who thrashed Zulte Waregem 5-1.
After the match Fraser told NOS that his side were guilty of missing a number of good goalscoring chances.
He said: “We lost tonight due to the quality of the opponent that we faced.
“Lazio were impeccable in taking their chances in an attacking sense tonight.”
He added: “We had mixed feelings in the changing room after the match tonight. It maybe sounds strange but I was looking for the reaction that we were disappointed that we did not beat such a big club as Lazio at home.
”We learned a lot in a defensive sense tonight not playing the ball back to the goalkeeper or choosing to put it out of play that is one lesson and also being sharper in our man marking too.
”We had chances to see out that game by making it 3-1 and we did not manage to do that. As a team we did not take the chances that we created and you learn when playing in these types of matches.”