The 14-year-old forward is regarded as one of the brightest young prospects in all of Scandinavia, and has represented Sweden at youth international level.
Aziz will spend a week training at Liverpool's Melwood training ground with the club's youth players, and under the watchful eye of Academy Director Frank McParland, will look to impress his Barclays Premier League suitors.
The talented youngster has also attracted strong interest from Italy, with both Inter and AC Milan keen on signing Aziz, but Liverpool are now in the driving seat after negotiating a trial period.
The Reds spent big in the summer, and Dalglish is tipped to re-enter the transfer market this month as he looks to further strengthen his squad in a bid to return to the UEFA Champions League next season.
However, a deal for Aziz is very much regarded as a signing for the future, and if he signs for Liverpool will be given time to continue his development away from the spotlight.