The phrase "continues its attempts" is correct and usable in written English.
You can use it to refer to a specific entity making more than one attempt to do something. For example, "The company continues its attempts to develop new sustainable energy sources."
A month ago, it launched its video portal Facebook Watch worldwide, as it continues its attempts to woo video creators away from YouTube and game streamers from Twitch, to its social networking platform instead.
The pre-election terror plot revealed al-Qaeda (AQ) continues its attempts to strike US and Western targets.
NEW YORK CITY ― As the Trump administration continues its attempts to clamp down on reproductive rights, women across the U.S. are taking matters of reproductive justice into their own hands.
Overseeing prosecutors, including the Crown Prosecution Service's Serious Fraud Office, as it continues its attempt to adopt a tougher stance on financial crime.
The tentative movements out of the displaced persons camps by farmers run into this extremely violence, for the Arab militias, whether part of the RSF or not, enjoy complete impunity as Khartoum continues its attempt to "change the demography of Darfur and empty it of African tribes".
The deal will also provide AOL with some sorely needed cash as the struggling Internet company continues its attempt to refashion itself as a media content provider.
Once I ran it simply continued its attempts to be free and, finally, made it out of the window just as I was coming back into the room.
This summer, it will continue its attempts to build a team that can beat the Southern Hemisphere consistently by playing rugby in South Africa during the soccer World Cup.
A spokesman for Russia's investigative committee, which conducted the investigation, pledged that it would continue its attempts to bring those behind the killing to justice.
In a statement, the French government confirmed it was continuing its attempts to extradite Senussi to France, and that the two countries were proceeding in accordance with diplomatic channels established since Mauritania declared independence, in 1961.
Taiwan also said it would continue its attempts to purchase more than 60 of the C/D planes, which are considered more of a match for China's latest war planes.
