Leicester did not disclose the transfer fee but British media reported the club paid around 30 million pounds ($38.75 million) for the 19-year-old.
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Financial details of the transfer were not disclosed but British media reported Chelsea paid around 22 million pounds ($28.01 million) for the 28-year-old who had three years left on his Rennes contract.
The Spain international defender penned a four-year deal with Leeds to become their second summer recruit from LaLiga, following Valencia striker Rodrigo to Elland Road.
Vidal, who joined Barca from Bayern Munich in 2018, will be reunited with Inter coach Antonio Conte, who signed him for Juventus in 2011 and where he stayed until 2015.
The 36-year-old has signed a one-year contract, having been a free agent after leaving Zenit St Petersburg.
The former Nigeria captain, 33, is a free agent having left Turkish side Trabzonspor by mutual consent in March.
The Nigeria international parted ways with Spanish side CD Tacon, now renamed Real Madrid, last month after the expiration of her contract with the Primera Iberdrola outfit.
The young stopper, who began his career at Bayer Leverkusen, penned a two-year contract with the Castle Lords with the option for another two years.
Sane, 24, had signed a five-year deal with Bayern that would keep him at the club until 2025, the club said on their website here
The Belgian club has been trying to sign the forward for weeks and negotiations finally concluded earlier this week.
The 24-year-old will join the Stamford Bridge club in July after they met the German’s release clause, reported to be around £53 million.
Ighalo had a successful start to his loan spell at United after arriving from Shanghai Shenhua in January.