The phrase "already overlooked" is correct and usable in written English.
It can be used to indicate that something has been neglected or not noticed prior to the current moment.
Example: "Despite the numerous warnings, the potential risks were already overlooked by the management team."
Alternatives: "previously ignored" or "neglected earlier".
The underdog-loving jury at the Cannes Film Festival has already overlooked Cotillard for the Best Actress prize three years in a row.
But experimenters may have already overlooked a Higgs particle, argues theorist Chien-Peng Yuan of Michigan State University in East Lansing and his colleagues.
Working outside of the regulatory framework, the informal private sector has infiltrated slum settlements that are already overlooked by the formal health system, providing longer service hours and convenient access to the working poor (Bloom et al. 2011).
If you're deluded by the "perfect image" of a guy from cartoons, fairytale books, or the movies, it's quite possible you've already overlooked Prince Charming.
Nearby, a small cross already overlooks the city from atop the 115-foot glaspireire of an enormous Roman Catholic church, built at the turn of the century about a mile from the old chapel.
The Yemeni adventurism, he argued, could let Iran threaten the entrance to the Red Sea, as well as the entrance to the Gulf which it already overlooks, thus putting its fingers on two of the world's naval choke-points.Arab leaders are quieter about making such points, but agree with them wholeheartedly.
When the time has come, the guests are led into the large auditorium, where Mondkopf is already overlooking the whole place and ready to play before a vast blank canvas that is soon covered with the visual world of the producer, as seen by Trafik.
Sadly, the achievement of stunning victory from the jaws of defeat for Hibs and a painful defeat for Rangers had already been overlooked in so many quarters.
One genetic pathway has already been overlooked in the primary study by Hahn and colleagues [ 13].
Neither man seems to have considered that the previous investigation might have overlooked evidence already in the hands of Scotland Yard.
Not just for the way that it cleverly reminds us of confirmation bias – the natural tendency to notice evidence that confirms what we already believe, and overlook that which doesn't – but also because it puts the views of a white supremacist, views that most audience members will find unpalatable, centre stage.
