The Daily Telegraph, as quoted by the Daily Express, is reporting that the Spanish head coach is hoping to complete three more deals.
The same article states that the Gunners are eager to sign Crystal Palace winger Wilfried Zaha, Celtic defender Kieran Tierney and Saint-Etienne centre-half Wlliam Saliba.
According to the same story, the north London side have submitted bids for all three of their summer targets but are yet to get any deals over the line.
Emery has been linked with a host of different players in the summer transfer window so far but Arsenal have only completed one summer signing.
Arsenal brought in South American defender Gabriel Martinelli in a £1.6m deal from Brazilian outfit Ituano in the current transfer window.
The north London side finished in fifth spot in the Premier League table last term to narrowly miss out on a Champions League place.
The Gunners lost 4-1 to London rivals Chelsea FC in the Europa League final to end Emery’s first season in charge on a disappointing note.
Arsenal haven’t won the title since 2003-04, when the Gunners became the only team in Premier League history to finish the season unbeaten.
MORE: Man United latest news
MORE: Arsenal latest news
MORE: Chelsea latest news
MORE: Liverpool latest news