The final score was 7–5, 6–3, which means that Larsson played through the qualification without losing a single set.
Larsson has previously defeated Mandy Minella from Luxembourg and Polish Urszula Radwanska in straight sets in the qualifying tournament.
The Swedish is ranked 213, compared to Gratjeva who is in 106th place.
Larsson is thus allowed to play in the Australian Open's main tournament for the third consecutive year. Last year she moved on to the second round, where she was defeated by Danish Caroline Wozniacki.
Rebecca Peterson also comes into play in the main tournament. It was unclear if the Swedish star, ranked 44th in the world, could participate after she broke the genre. But her coach later confirmed to SVT Sport that she is coming to the game.