For Rice I seem pretty sure about Arsenal but for Romeo Lavia I still haven't heard too much of these rumours because as far as I know he is one of the players that Chelsea and Liverpool are fighting over but not Arsenal.
But it looks like West Ham have turned down Arsenal's offer to take Rice with them next season.
Rice is a player who can provide a lot of good development for West Ham so it is only natural that an offer worth £ 80 million was rejected by West Ham.
Not only you, I also haven't heard too many rumors that Arsenal are eyeing Romeo Lavia, a player with a midfield position from the Southampton team.
There are some conditions where it's like it's set up that way. It's not too strange indeed when West Ham refuses a price offer like this but that doesn't mean it will end here because of course Arsenal will also continue to negotiate with West Ham.
80 million was rejected but seeing several other reports, Arsenal have currently prepared 100 million for their bid to bring Rice which also shows Arsenal's seriousness for this player.
Now it's only a matter of time, I think, because in the end, with words like the farewell from Rice before and Arsenal's insistence, I think sooner or later they will wear an Arsenal jersey if West Ham knows that 100 million is the real fix price for a Rice.