Francoise Abanda's run at the Rogers Cup has come to an end.

Abanda lost her second-round match 7-6 (2), 7-6 (3) against Ukraine's Elina Svitolina on Wednesday at the US$2.4-million women's tournament.

The 19-year-old from Montreal dropped a nail-biter in front of her hometown fans, pushing both sets to a tiebreak.

But Abanda's service game let her down throughout the match. Svitolina broke the Canadian twice in the first set, and another four times in the second.

In the second-set tiebreak, Abanda jumped to a 3-0 lead but lost the next seven points, three of those while on serve.

Svitolina will face either Angelique Kerber or Mirjana Lucic-Baroni in the next round.

After earning a bye in the first round, sixth-ranked Venus Williams breezed through her second-round match.

The American dominated her opponent Barbora Strycova 6-3, 6-0, needing just 58 minutes to complete the encounter.

"It was definitely more straightforward than some of our other matches," said Williams, who is off to the Olympic Games in Rio following the Rogers Cup. "I'm never happy with my matches. Even an easy scoreline is never enough. But it's about figuring out how to win instead of playing perfect."

The seven-time Grand Slam champion gave up a mere 10 points in the second set, which she completed in 24 minutes.

The only hiccup for Williams was the seventh game of the first set. Up 4-2, the 36-year-old had her serve broken by Strycova, but she followed up with a break of her own.

"I just needed to stay focused," said Wiliams. "A 4-4 is definitely different than a 5-3. But it wasn't necessarily a turning point, because there are matches where I've been down and came back, and vice versa, so you realize that the match isn't over until it's over."

Williams will next face the winner of a match between Madison Keys and Madison Brengle.

Earlier in the day, fourth-seed Agnieszka Radwanska dispatched of Monica Niculescu 6-1, 7-5.

Romanian Simona Halep, one of the tournament favourites, beat Daria Gavrilova in straight sets 6-3, 6-2 to set up a meeting with Karolina Pliskova.

The 14th-ranked Pliskova jumped into the third round after her second-round opponent Sara Errani was forced to retire with neck stiffness.

Roberta Vinci came from behind to defeat fellow Italian Camila Giorgi 2-6, 6-3, 6-4.