Real bravely battled Barca on three fronts last season, and while they finished runners-up in La Liga and also fell at the semi-final stage in Europe, they did beat their arch-rivals in the final of the Copa del Rey.
And while Los Blancos have been far from impressive in the new season so far, they are just a point behind second-placed Barca in the league standings, and have already notched up two wins from two in the Champions League.
Following a summer which saw the arrivals of Fabio Coentrao, Nuri Sahin, Jose Callejon, Hamit Altintop and Raphael Varane, Arbeloa believes Real are currently playing better football than they were last season, and has set his sights firmly on a league triumph.
"We know the league is not easy because it has many quality teams," Arbeloa said on Real's official website. "Barcelona are a strong side, but we're united and we want to win the league.
"I think we're playing much better than last season.
"We have to keep going and think about our next game and about playing good football."
Arbeloa also remained upbeat about Real's chances of success in the Champions League, a competition they have not won since the 2001/02 season.
"We know it [the Champions League] is a difficult championship and that there are difficult teams to face, but we feel confident in our chances.
"Also, playing our next games already having six points [from the first two matches] makes things easier.
"We know it's really important to start well. It's really important to win the first two or three games in the Champions League because after that you are more confident.
"It gives you more experience in the competition, so they are really important. We are now in a good position."
Arbeloa did admit that last season's Copa del Rey victory was special, and that he hoped to experience the same winning feeling in every competition this term.
"It [winning the Copa del Rey] was great. I have fond memories of that game. It was really nice.
"I'd like to have the same year again in the Champions League, in the league and everything else because it's such a special feeling. I'd like to repeat it all again."
Arbeloa has emerged as a useful player for Real since joining from Liverpool in 2009, and made 81 appearances in his first two seasons at the Santiago Bernabeu.