Moscow, Russia, 21 October 2016 | AAP

Australia’s Daria Gavrilova has marched into the semifinals of the Kremlin Cup after beating seventh-seeded Russian Anastasia Pavlyuchenkova 7-5 4-6 6-3 in Moscow.

Playing in the city of her birth, the Melbourne-based world No.37 continued her excellent recent run of form to set up a semifinal against Germany’s Julia Goerges.

World No.64 Goerges defeated another local favourite in Darya Kasatkina and Friday’s last-four clash with Gavrilova will be the first time the pair have faced off.

.@Daria_Gav secures the last #KremlinCup Semifinal spot!

Edges Pavlyuchenkova 7-5, 4-6, 6-3! pic.twitter.com/dgrncGHAsX

— WTA (@WTA) October 20, 2016

In what proved an incredible day for Gavrilova, the Aussie also advanced to the Kremlin Cup doubles final.

Partnering Kasatkina, they beat Paula Kania and Danka Kovinic 6-2 6-4, and in the final will face Czech second seeds and Grand Slam champions Andrea Hlavackova and Lucie Hradecka.

Top-seeded Svetlana Kuznetsova beat ninth-seeded Hungarian Timea Babos 7-5 6-7(2) 6-2 to remain on course to claim the final spot in the WTA Finals.

Kuznetsova will qualify for next week’s eight-player finals in Singapore only if she wins the tournament.

Otherwise, the place will go to Britain’s Johanna Konta.

The Russian jumped to a 3-0 lead over Babos in the final set and converted on her first match point.

In the semifinals, Kuznetsova will meet Ukranian fourth-seed Elina Svitolina, who eased past Croatia’s Ana Konjuh 6-1 6-1.