The transfer window opened on Friday.
When most players' contracts at their old clubs run out, several top-flight teams have already announced arrivals this summer, which will go through either now or on 1 July.
The transfer window will close on September 1st.
The transfer window in Scotland is similar to the one in the premier league.
Since the last game of the season, English Football League clubs have been able to sign players.
Sevilla defender Diego Carlos is reported to have cost around £26m, while Bordeaux forward Philippe Coutinho is reported to have cost around $17m.
Targett went on a successful loan spell at Villa.
Croatia's Ivan Perisic will join Spurs on a free transfer.
Although personal terms have yet to be agreed upon, Manchester City have reached an agreement to sign Erling Haaland.
Antonio Rudiger is going to Real Madrid and Laczacette is going to Lyon.
One of this summer's big transfers might involve Sadio Mane. The player is being linked with a move to the German club.
Robert Lewandowski told the club he wanted to leave and a new forward could be needed.
After leaving Manchester United as free agents, Paul and Jesse will be moving. A former Real Madrid player is also available.
After his contract ends, Ousmane Dembele will be moving.
There have been reports that Manchester United and other teams have been linked with the player. Christopher Nkunku is an interesting player for many European teams.
Eddie Howe's team could be a big player in the market this summer after avoiding the drop. Hugo Ekitike is in talks to join the club.
The defender is in talks with the team.
The manager of Manchester United is likely to want to make some changes.