Moyes missed out on USMNT striker Folarin Balogun on the final day of the summer window as Beto and Iliman Ndiaye both moved on.
The Toffees opted against bringing in a free agent, after declining moves for Mauro Icardi and former star Richarlison, and Moyes will not revive a move for Balogun at the start of 2027.
Thierno Barry has carried the burden as Everton's only senior striker so far in 2026/27, with 10 goals scored in competitions, but he needs support at the Hill Dickinson Stadium.
A new striker is a key objective, with Moyes rumoured to be considering a £42 million offer for ex-Barcelona striker Vitor Roque, but reports from the Liverpool Echo claim Nicolo Tresoldi is a more realistic option.
The German star has been scouted by the Toffees several times in recent weeks, with the 22-year-old on nine goals from 12 games at Club Brugge this season, and he could be available for £30 million.
A new right-back is also key, following Seamus Coleman's summer exit, as Moyes has rotated between Ainsley Maitland-Niles, Merlin Rohl and Jake O'Brien in the position.
While Samuel Lino and Rayan Ait-Nouri remain as options for the opposite flank, Celtic's Alistair Johnston is back on Moyes' radar for his right flank.