Hull City have signed goalkeeper Jack Butland from Rangers, while Croatia international Ivor Pandur has moved in the opposite direction to the Scottish club.
The 33-year-old Butland joins the Tigers on a two-year contract with a club option for an additional 12 months.
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The fee is reported as £3 million.
Rangers, meanwhile, have secured Pandur on a four-year deal worth £6 million.
The 26-year-old played almost every Championship match last season, helping Hull win promotion to the Premier League.
Butland Returns to Premier League
Butland expressed his excitement about returning to England's top flight after three years in Scotland.
"The Premier League is the best league in the world and, personally, it's a great opportunity to be on the biggest stage again," Butland told the club website.
Before leaving Rangers, where he made 157 appearances and won the Scottish League Cup, Butland posted a farewell message on Instagram.
"Three years ago I made a decision to join this great football club, with no hesitation and I'm so glad that I did," he wrote.
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"I leave with great pride knowing that I truly gave the fans, the club and my team-mates my all."
Pandur Excited for Rangers Move
Pandur shared his enthusiasm about joining the Scottish Premiership side after keeping clean sheets in Hull's successful play-off campaign.
"I am honoured and privileged to sign for such a big club with so much history," said Pandur.
"This club knows how to win and that's exactly why I am joining Rangers."
Rangers manager Derek McInnes praised the Croatian goalkeeper's qualities.
"He is a goalkeeper with excellent presence and a strong character," McInnes said. "We believe he can be a commanding figure for the club."
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The squad restructuring comes under Hull manager Sergej Jakirovic as the club prepares for its Premier League return after a nine-year absence.