As is so often the case in the off season, the focus at Celtic has been on the transfer market and whether their squad is equipped to compete both domestically and in Europe.
Hogh and Camilo Duran are the only summer arrivals so far at Parkhead and both were handed debuts from the start.
Duran was shifted out wide to accommodate Hogh playing through the middle and the game largely passed the Colombian by, with a neat second-half turn his sole highlight.
Hogh was more involved and probably should have got his first Celtic goal, but failed to hit the target with any of his four shots inside the Dundee box.
Instead, it was three established stars who delivered amid a slightly rusty display.
Tierney's cross was typical of a player who creates plenty of goals from full-back, Nygren opened his account for the season with a straightforward header after scoring 21 times last season, and McGregor drove standards from midfield as he so often does.
There will almost certainly be further incomings and outgoings at Celtic in the coming weeks, but those core players are who O'Neill will rely on to lead the way.
From a Dundee perspective, Pressley spoke of how proud he was of his team post-match and you can understand why.
The visitors put in a huge effort defensively and had their moments at the other end.
Centre-back duo Ryan Astley and Owen Bevan were outstanding, making nine interceptions and 15 clearances between them.
On paper, this is their toughest league game and they return to Dens Park having limited the damage.