The Brazilian was pictured at the Pall Mall Medical Centre in Liverpool and was met by an Everton representative for what is expected to be a routine examination. Barring any unexpected issues, he should complete his free transfer ahead of Thursday's 5pm deadline.
Everton have been chasing the 23-year-old since his impressive World Cup exploits.
Everton manager Marco Silva has made no secret of his desire to add a new centre-back to his squad, particularly after the departures of Ramiro Funes Mori and Ashley Williams. "We have to sign new players there". He moved to Shakhtar for around £40million that summer and won three Ukrainian league titles.
The Frenchman, who has also been linked with a move to Everton, impressed on loan at Stoke last season but will struggle to force his way through a queue of central defenders now he is back with the Blues. "He's played a lot of games previously and it's a great test for him to come here".