The under-pressure Spurs boss had lunch with Nick Beucher, Johan Lange and Vinai Venkatesham on Monday.
Irishman Lowry found both bunker and water on the 18th, finishing with a double bogey that shattered his hopes.
Ireland and Scotland and hosts Australia and New Zealand were also drawn together.
The tourists will be under more scrutiny than they might have expected following a bruising 4-1 defeat Down Under.