Kontaveit rescued herself from having her service broken in the fifth game of the first set, coming back from 0:40 to win the game, and breaking Ms Tormo's serve in the next game, bringing the score to 4:2, going on to win the set 6:3.

The second set was even more of a cruise, with Ms Kontaveit 4:0 after breaking her opponent's serve twice. Kontaveit went on to take the set, and thus the match, 6:2. The whole match lasted an hour and 16 minutes.

''It was a little but of a nervy game, being the first grand slam of the year,'' Kontaveit said to Estonian journalists after the match.

''In general, however, I'm satisfied with the result – a win is a win, and this with such a solid score,'' she continued.

''The plan was to attack my opponent's backhand and playing via her backhand, I could focus on my own things. Bearing in mind the temperature was 35 degrees with no wind, I think I did well – fortunately the game wasn't too long, a little over an hour I think,'' she continued.

Kontaveit, 23 from Tallinn and ranked a career-high 20th in the world, meets Aliaksandra Sasnovich of Belarus in the next round. Sasnovich won her first round even more convincingly, 6:1, 6:1 against Kirsten Flipken of Belgium in just under an hour. However, on past form Kontaveit has the advantage, having won four of their previous seven econcoutners, the last on 6:2, 4:6, 6:2.

Meanwhile Kaia Kanepi will meet world number one Simona Halep on Tuesday morning.

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