Believe the rules in the FL over club squads last season were…
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Division Maximum Squad Size Minimum Homegrown Players
Championship 25 players 8 players
League One 22 players 8 players
League Two 22 players 8 playersDefinition of Homegrown Players
A "homegrown player" is defined as a player who has been registered with a club affiliated with the Football Association (FA) or the Football Association of Wales for a minimum of three seasons (or 36 months) before their 21st birthday. This definition applies regardless of the player's nationality or age.
Additional Rules
Each club must include at least one "club-developed" player in their matchday squad, defined as a player registered with the club for at least 12 months prior to the end of their U19 season.
Under-21 players do not count towards the squad limits and can be included in the matchday squad without registration.
Overseas players
No more than three overseas players under the age of 21 can be signed in any single transfer window and a total of no more than six overseas players under the age of 21 per season.
So this would suggest Reading can sign up to 3 more from overseas this window - but as with all overseas players they would need to meet the “points” requirements for a work permit.