I think it was a bulk tub of Proraso, their older design that featured differently coloured stripes for different kinds of their cream.
This looks like their older tub design:
Proraso NEW Shaving Cream Tube - Sandalwood - 150ml at Maguire's Barbershop | Proraso Shaving | Shaving Creams by Proraso | Enriched with sandalwood, shea butter and glycerin, this classic shaving cr
maguiresbarbershop.co.uk
But otherwise, it looks like some of their larger dose ship in a tub like the one he used:
✔ Proraso Shaving Cream Wood and Spice at Salontotal.co.uk ✔ Free shipping from £30 ✔ Ordered before 10 PM, shipped today!* ✔ Fair prices ✔ Securely shopping
www.salontotal.co.uk
Having said that, I have never used Proraso myself, but it seems to be fairly well loved on the forums and saw it in SOTD pictures a bunch of times over the years.