For a team whose success every season is based on performance in Europe, Tuchel's men can be very happy with how the campaign has gone so far.
A 3-0 victory over Real Madrid in September was an example of PSG, following a calamitous exit from Europe last season, showing to the world what kind of standards they expect to meet.
That they have only conceded twice in five group games - both coming away to Madrid - is an example of how PSG are placing more emphasis on having a solid base from which dominant European performances can emerge.
Indeed, should the Ligue 1 champions suffer a similar fate to the one inflicted on them by Manchester United in March, then Tuchel will need no reminder to pack up his things and head for the exit door.
In an essentially meaningless game for both sides, PSG will be expected to put on a performance full of ambition and style against the Turkish side.
Galatasaray's troubles in Europe come up against a wider backdrop of poor performances since August from Fatih Terim's side.
Having won consecutive Turkish Super Lig titles, the Istanbul side find themselves marooned in sixth place this time around, eight points behind surprise leaders Sivasspor.
On paper, a midfield of Lemina, Jean Michael Seri and Steven Nzonzi holds tantalising potential, but you suspect that the club requires much more time before all the moving parts start properly working in conjunction with each other.
The meeting with PSG at the Parc des Princes therefore serves as a free hit for the Turkish side, who will be expected to suffer something of a drubbing in Paris.
Recent Paris Saint-Germain form: WWWWD
Recent Paris Saint-Germain form (all competitions): WWWDWW
Recent Galatasaray form: DLLLD
Recent Galatasaray form (all competitions): WLDDLW
Florin Andone is not expected to return until the end of next month with a slightly less serious knee problem.
Paris Saint-Germain possible starting lineup:
Navas; Dagba, Diallo, Silva, Kurzawa; Marquinhos, Paredes, Draxler; Di Maria, Neymar, Choupo-Moting
Galatasaray possible starting lineup:
Muslera; Mariano, Donk, Marcao, Nagatomo; Nzonzi; Lemina, Serie, Belhanda, Bayram; Buyuk
We say: Paris Saint-Germain 4-0 Galatasaray
PSG have been ruthless in Europe this season, while Galatasaray have considerably struggled away from home in Europe, meaning that a dominant performance from the Ligue 1 champions looks to be firmly on the cards.
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