Arsenal boss Arsene Wenger is in talks with the representatives of Romelu Lukaku and Alexandre Lacazette to understand if the two strikers are for sale.
The Frenchman was not happy after losing out on Leicester City man Jamie Vardy.
And according to The Sun, he wants to sign a new striker as soon as possible.
"Arsene is keen to get a new striker in as soon as possible, but won't rush anything and overspend," an Arsenal source told the newspaper.
"Olivier Giroud is very much in his plans, but he wants to get someone in and was upset about losing out on Jamie Vardy."
Wenger confirmed last month that he will sign at least another player during the summer transfer window.
Striker Olivier Giroud impressed at the 2016 Euro Championship but recent reports have claimed that the 66-year-old is determined to sign a world class striker to build a title-winning squad.