Recently, There is a rumour that Benjamin Sesko has Agreed to join Arsenal, if it was happened, Sesko will be brought and will cost Arsenal around £45m, but until now, there aren't any further confirmations from Arsenal regarding this transactions.
Even though, Arsenal still needs some considerations, and also Arsenal possibly could change their targetted player from their list, because it was happened to Ivan Toney and Alexander Isak, as I've read on Mirror [1].
[1] https://www.mirror.co.uk/sport/football/transfer-news/benjamin-sesko-arsenal-transfer-news-32926182
Yeah, there's no meeting between both clubs not even between the agent of the player and the club right now. We saw a picture of him after the game Arsenal played against Manchester United but no formal talks have been held, just like you said they're rumours and let them continue to be rumours.
These are the names I expected them to make moves for bit they're definitely looking at a younger player who can grow with the squad. Alexander Isaak isn't a bad player in my opinion and he's got a good understanding of how the Premier League Competition goes and will be the best to blend in immediately.
There's no news confirmed by Fabrizio Romano at the moment.
I think they had a good season, all they need now is a goalscorer and a new midfielder' just if Thomas Partey leaves or gets Injured.