The Argentine was ecstatic with his club's Primera Division title triumph and has now challenged his team-mates to improve even further next season
Having led La Liga for much of the season, Jose Mourinho's side saw off a late charge from Barcelona to wrest the league title away from their bitter rivals' grasp.
Now, speaking retrospectively, the Argentine winger could not hide his delight with how the campaign panned out, but urged his team-mates to build on their ascendancy.
"I am very happy because in my second year at Real Madrid I have won the league," the former Benfica man told Marca.
"We did much better this year and it showed in all the records we broke, the points we took and goals we scored.
"It's impressive. I hope we continue to grow and win titles next year."
Di Maria then highlighted the Blanco's 2-1 win over Barcelona at Camp Nou in April as evidence the Catalans had lost their aura of invincibility.
"We were stronger than Barcelona because we had a nine-point cushion over them and scored more goals," he noted. "We want to continue beating records.
"I think that after winning this league, and beating Barca at Camp Nou in the process, we know we can win any match in Barcelona."
However, the 24-year-old rued his side's exit from the Champions League at the hands of Bayern Munich in the semi-final stage and vowed to do better in the future.
"People want the tenth [European Cup] every year. It's an obsession. We were very near [to our goal] for the past two years, but hopefully, next year we can go all the way," he concluded.