Ahead of Wednesday night's first Group H fixture against AC Milan at the San Siro, Swedish defender Lustig believes that Neil Lennon has a better group together this time around which is daring the Glaswegians to dream.
"That everything is possible. Last year when we looked at the group, no-one believed in us," he told the Daily Record.
"We knew it was going to be really tough but there was only one game we didn't feel we played really well, Benfica away, but still we were really close to getting a point.
"We won at Spartak (Moscow) and we were really close to taking points at the Nou Camp as well so of course our confidence is maybe better than it was last year.
"It's going to be really hard but we have faith."
"It will be really fun. Of course we are underdogs like last year but there are going to be some massive games.
"Especially when we are playing at Celtic Park, we know we can beat any team.
"Last year was the same. We are not going to be happy to play some decent football but go back to Glasgow with zero points."