The 64-year-old Chilean was facing the media for the first time since he was appointed Hammers manager last month.
He said: “We are trying to build a strong squad. We know the Premier League is not easy and you don’t just need a team, you need a squad.
“We have seven new players but we have three important players injured, so until the last day to bring in players we will try to build as strong squad as possible.”
Spanish midfielder Pedro Obiang has been linked with a move to Italian club Sampdoria, but Pellegrini added: “I don’t talk about rumours, when it’s official we will see what happens. If players must go we will need to find a replacement.”
With the World Cup finished, the summer transfer window is now starting to heat up, as managers look to bring in additions to their squads ahead of the start of the 2018/19 campaign.
Plenty of big names have been linked with switches, and with that in mind, we’re taking a closer look at some of Europe’s most in-demand stars.
Our next player analysis is Manchester United’s Anthony Martial…
Linked to: Chelsea, Borussia Dortmund, Bayern Munich and Tottenham Hotspur
Price tag: £50 million
Few would have thought just three seasons on from becoming the most expensive teenager of all time, Anthony Martial would be on his way out of Manchester United.
Even fewer would have expected it after an impressive debut season, which saw the former Monaco man net 17 goals in all competitions.
But since the arrival of Jose Mourinho, the goals – and the opportunities – have dried up for Martial, and he was left bitterly disappointed this summer as he missed out on France’s World Cup squad.
The 22-year-old is now desperate for a move away from Old Trafford, and if reports are to be believed, Mourinho is ready to let him go – if the club can find a suitor willing to pay £50 million for the Frenchman’s services.
In the Premier League, Chelsea and Spurs are both rumoured to be interested. Maurizio Sarri’s 4-3-3 system would suit Martial, and the Blues may up their efforts to sign him should both Eden Hazard and Willian depart.
Across London, Mauricio Pochettino knows he needs support for Harry Kane in attack, and with Martial also able to operate in a position just off Spurs’ main man, he could be the answer to their lack of attacking depth.
But Mourinho will be far more interested in shipping out Martial to a club outside the Premier League.
German duo Borussia Dortmund and Bayern Munich have both been linked with Martial, and while the Frenchman would likely be happy to join either club, United’s asking price may prove the stumbling block.
The Turin giants are looking to free-up their wage bill following Cristiano Ronaldo‘s mega-money arrival, as well as trim their star-studded squad in general ahead of the start of their Serie A defence.
And Pjanic could be one such man who is headed to the exit, with speculation suggesting City are in talks with the player’s agent, Fali Ramidani.
Juve have apparently set a €100 million (Dh429m) price tag for the Bosnian ace.
Quite where the versatile 28-year-old fits into Pep Guardiola’s midfield is anyone’s guess, given the wealth of resources the Spaniard has at his disposal in the engine room.