Chelsea reject West Ham's £40m bid for Conor Gallagher
- Chelsea have rejected West Ham's £40 million bid for midfielder Conor Gallagher.
- Gallagher has been linked with a move away from Chelsea after limited playing time last season.
- Gallagher previously turned down £45m move to Everton in January.
- Gallagher came through Chelsea's academy and has had several loan spells.
- West Ham looking to strengthen midfield after Declan Rice's departure.