Spainiard Rafael Nadal began his journey for a 10th French Open title with a straight-sets victory over French Quentin Halys. Sixth seed Nadal, won 6-3, 6-3, 6-4 on Court Philippe Chatrier. The Spaniard is in the same half of the draw as top seed Serbian Novak Djokovic, who beat Jarkko Nieminen, a Finnish by 6-2, 7-5, 6-2. Djokovic has now won 23 matches in a row as he attempts to claim his first title at Roland Garros and become the eighth man to complete the career Grand Slam of Wimbledon and the Australian, French and US Opens.World number one Djokovic is due to meet Nadal in the last eight. Djokovic could meet Nadal – who has slipped down the world rankings during a disappointing clay-court season by his standards – as early as the quarter-finals. The Spaniard is bidding to become the first player since the Open era began in 1968 to win 10 titles at any Grand Slam event.Top seed Serena Williams made swift progress into round two of the French Open on day three but last year's semi-finalist Eugenie Bouchard was beaten. Williams, the champion at Roland Garros in 2002 and 2013, beat Czech Andrea Hlavackova 6-2, 6-3. But Canadian sixth seed Bouchard lost 6-4, 6-4 to France's Kristina Mladenovic, the world number 44, her eighth defeat in nine matches.