Defending champion Jelena Ostapenko booked her place in the last 16 of the Luxembourg Open with a comfortable straight-sets win over Jule Niemeier.

The world number 30 came out on top 6-2 6-2 in a little under an hour to set up a meeting with Arianne Hartono, who earlier beat Anna-Lena Friedsam 7-6 (7-5) 3-6 7-6 (7-4).

Fifth seed Marketa Vondrousova also shuffled through to the next round thanks to a 6-2 6-3 triumph against Alison Van Uytvanck, while Zarina Diyas will face tournament favourite and Olympic champion Belinda Bencic next after beating Anna Karolina Schmiedlova in three sets.

Aliaksandra Sasnovich was made to work harder for her 7-5 7-6 (8-6) win against Lesia Tsurenko, with that the longest straight-sets match of 2021 so far at two hours and 30 minutes, according to the WTA.

Greet Minnen and Mandy Minella were also victorious on Tuesday, overcoming Nuria Parrizas-Diaz and Varvara Gracheva respectively.

At Zavarovalnica Sava Portoroz in Slovenia, meanwhile, home favourite Kaja Juvan eliminated top seed Petra Martic with a 6-3 6-4 win. Sweden's Rebecca Peterson was another seed to fall, going down in straight sets to Lucia Bronzetti.

Jelena Ostapenko wasted little time in her opening match at the St Petersburg Ladies Trophy, while there were also wins for Aliaksandra Sasnovich and Vera Zvonareva in Monday's action. 

Ostapenko needed less than an hour to get past Paula Badosa, who caused an upset when the pair met at last year's delayed French Open. 

There was to be no Roland Garros repeat for Badosa, though, as she was swept aside 6-2 6-2.  

The sixth-seeded Ostapenko started her campaign impressively in Russia, producing 26 winners and just eight unforced errors. Her serve was also in good order, never giving her opponent a chance of a break. 

Sasnovich had to work a little harder, rallying from a set down to see off Ana Bogdan 2-6 6-2 6-1. Her reward is a clash with third seed Fiona Ferro, who received a bye through to the second round.

Zvonareva, meanwhile, progressed in straight sets against Arina Rodionova, the Russian dropping just four games during a contest that lasted one hour and 22 minutes.  

Victory was sealed at the second opportunity, a sliced backhand into the net by her opponent sending Zvonareva through to the last 32. 

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