Julian Nagelsmann has been impressed by how quickly Angelino has settled in at RB Leipzig and wants to sign the full-back permanently from Manchester City.
The 23-year-old left-back joined the German side on loan from the Premier League giants in January and has made four appearances in all competitions.
Angelino impressed for the Bundesliga side in the first leg of their Champions League last-16 tie against Tottenham on Tuesday, as they beat Jose Mourinho's men 1-0 through a Timo Werner penalty in the second half.