In full flow, there are few footballers more pleasing on the eye than Thiago, and the Spaniard gave something of a masterclass here, displaying his full array of talent in front of a drooling audience.
The game was less than four minutes old when he picked up possession in his own half, flicked the ball up and speared a volleyed pass out to Andy Robertson. Soon after, he was spraying it to James Milner on the opposite flank. Fifty yards, pinpoint.
Just before half time, he was on the scoresheet, controlling the ball 25 yards out and firing an unstoppable low half-volley into the far corner. Technique personified, that one.
Liverpool's midfield may be in need of an overhaul, but this lad certainly looks like he's ready to be part of its future.
At 18, Bajcetic has already begun to establish himself as part of Jurgen Klopp's first-team squad, and his showing here suggests there will be plenty more to come.
Pep Lijnders believes the Spanish U19 international has "all the attributes needed" to be a top-class No.6 for the Reds, and it is noticeable just how comfortable the former Celta Vigo prospect looks in a position which demands a lot in terms of concentration, maturity and discipline.
Bajcetic's positional play, his anticipation and ability to hoover up second balls, is already at a very high level, and he plays with a confidence, composure and awareness which is way beyond his tender years.
His physicality will improve, and will need to, as he gets older, and he must still overcome big hurdles if he is to become a permanent fixture in a side which will hope to be challenging for the biggest prizes in the coming years.
But so far, so very promising.
Welcome back, Darwin! After disappointment in Qatar came a promising return to action in Dubai, as Nunez wasted no time at all in picking up where he left off for Liverpool prior to the World Cup.
The Uruguay international needed only half an hour to make his mark here, scoring twice to put the seal on a good victory for his side, and offering good omens for his manager ahead of the big restart.
Nunez had already stung the palms of Antonio Mirante, the veteran Milan goalkeeper, by the time he found himself on the end of a quite wonderful pass from youngster Bobby Clark. He stayed calm, slotting home low inside the near post to make it 3-1.
Then came a simple second, converted from close range after a driving run and selfless cross from Ben Doak, a 17-year-old whose early first-team forays suggest will have a big future in the game.
Nunez capped his promising cameo by scoring, somehow, from the spot in the penalty shootout, and with Luis Diaz and Diogo Jota both sidelined until well into the New Year, Liverpool need their £64m man to keep up this kind of form.