<foot-play-edit-perfil-modal (sendValue)="receiveMessage($event)"
[player]="player" [showModalEdit]="showModalEditPerfil"></foot-play-
edit-perfil-modal>

receiveMessage($event) {
     console.log('teste',$event)
   }

@Output() sendValue = new EventEmitter<any>();
...
sendMessage() {
  this.sendValue.emit('teste')
}
...
updateProfile(){
  this.sendMessage()
}

<div class="perfil-modal__buttons">
     <button class="btn btn--primary" (click)="updateProfile()">Salvar</button>
</div>