The report claims Villas-Boas has renewed his interest in Morata as he seeks reinforcements to help end Spurs' goalscoring crisis.
The Tottenham manager first approached Madrid over Morata during negotiations for Gareth Bale over the summer. But Carlo Ancelotti, at that stage, made it clear that the Spanish under-21 striker was not available and could not be part of the £85m package for the Welshman.
That may have changed now though, with Madrid reportedly willing to send Morata out on loan for first-team football.
Villas-Boas has reached out to Morata personally to persuade him to join the White Hart Lane club, with the club and Morata's agents in talks over a potential January switch.
Spurs have struggled for goals this season - just nine in the Premier League following their blank in the 6-0 humiliation against Manchester City on Sunday.
And with clubs keen to sign both Jermain Defoe and Emmanuel Adebayor, Villas-Boas is reportedly lining up potential additions for the winter market.
He will not want to lose Defoe - who has been linked with MLS side Toronto FC - without first bringing in a replacement and Morata could be that man.