The visit comes within the framework of the distinguished bilateral relations between the two friendly federations, QFA confirmed on Sunday.
The QSL was represented by CEO Hani Taleb Ballan and Executive Director of Competitions and Football Development Ahmed Khellil Abbassi.
Moreno took charge in June after Luis Enrique had resigned to take care of his daughter Xana, who died in August of bone cancer.
The German champions are currently looking for a new head coach following the sacking of Niko Kovac after a 5-1 thrashing at Eintracht Frankfurt at the start of the month.
Group F winners Spain rounded out their qualifying campaign with a 5-0 destruction of Romania
Pele, a national hero after helping Brazil to two World Cup wins in 1958 and 1962, was still just 29 years old when he broke the 1,000-goal barrier.
However, the failure to qualify for the competition is also reflected in a 6.8 million drop in the club's wage bill for the first quarter of the season.
Beierlorzer, who led Cologne to promotion as caretaker coach last season, was sacked earlier this month after a three-game losing run which started with defeat to Sandro Schwarz's Mainz side on October 25.
Al Annabi lead Group E with 10 points from four matches.
Lazaro Vinicius Marques' 93rd-minute winner helped the hosts lift their fourth Under-17 World Cup trophy.
The 64-year-old has always been against the use of VAR which he refused to consider after he became UEFA chief in 2007.
The two South American giants will face off on Monday evening in a match expected to pit Messi against his Barcelona strike partner Luis Suarez.
Although England weren't at their best, it was a rewarding finale for the Group A winners, who clinched the high seeding that should help them avoid a tough group in the finals.
Fernando Santos' side knew they would book their place at Euro 2020 with a win or by matching Serbia's result from their game in Belgrade.
Croatia secured top spot in Group E, a section also including Hungary, Wales and Azerbaijan, with five wins and two draws from their eight qualifiers.