Naomi Osaka has withdrawn from the Internazionali d'Italia due to an Achilles injury she suffered at the Madrid Open.

The four-time grand slam winner was beaten 6-3 6-1 in the second round in Madrid by Spain's Sara Sorribes Tormo last week, who she was due to face again in Rome.

Osaka looked uncomfortable throughout in the Spanish capital and appeared to struggle with the injury during a disappointing second-set display.

Her place in the first round will be taken by lucky loser Nuria Parrizas Diaz, who will now face Sorribes Tormo.

"Unfortunately I’m going to have to withdraw from Rome as the injury which I picked up last week in Madrid hasn't healed yet," Osaka said in a statement on the WTA's website. "It's an Achilles injury so I need to be careful especially in advance of Roland Garros.

"I love this city and always enjoy playing in front of the Italian fans so I will be sorry to miss them – but look forward to coming back next year."

The WTA confirmed on Monday that Clara Tauson of Denmark has also withdrawn from the tournament with a back injury, and will be replaced by Madison Brengle as a lucky loser.