According to the Daily Record, the Gers have not given up on signing Edmundson this summer. Gerrard is still keen to bring him to the Ibrox club.
The 21-year-old has emerged as one of the top targets for Rangers this summer.
Back in May, the Scottish Premiership side made a bid in excess of £500,000 for the Oldham Athletic centre-back, but that offer was turned down by the Latics, who were looking for a fee of around £1 million.
Sky Sports reported that the 21-year-old defender was keen to join the Ibrox club, and had submitted a transfer request after Rangers saw a bid for the defender rejected during that time.
The report claims that Rangers will still move for the player despite Portsmouth having agreed a £600,000 fee.
The exciting young defender is yet to speak to Portsmouth and will discuss his future with his agent and family this weekend.
Edmundson will join a club only if it is right for him, and Rangers should pay £600,000 to bring the defender to Ibrox.
Gerrard badly needs to sign a central defender for next season and the 21-year-old fits the bill nicely.