The defender believes they must learn from the mistakes of the past to win the title this season.
Many had predicted Arsenal could challenge for the title this term, after a strong finish to last campaign saw them retain the FA Cup.
There is still some doubt about whether the side can maintain a title push for the entire season, though, having impressed in years gone by before falling short.
That happened two seasons ago when they led on New Year’s Day but ultimately ended up seven points behind the eventual champions. Monreal says Arsenal must learn from that experience.
"We need to learn from that," he told Arsenal Player.
"I remember it very well because we finished the first half of the season [near the top]. In the second half, we lost a lot of games so we need to learn about that."
The defender does, however, believe that this term could see his side end their wait for the title.
In particular, he feels Arsenal have become more of a unit and says they have become more competitive as a squad.
That is something that has certainly shown in their defensive record, with the Gunners currently possessing the joint-second best defensive record in the division.
And Monreal believes that has come from everyone in the side defending as a team and not just a select few.
"I think the team is different now. We have different players, and are more competitive," he added.
"The secret? I will say that we are playing more compact, like a unit. The players are playing with more solidarity with all players trying to defend. At the moment, everything is right so we need to carry on."