Delano Burgzorg scored a late winner for Middlesbrough after Albion had drawn level from 2-0 down.
The leading pair both carded the lowest rounds of the day at a windy Dubai Creek Resort.
Ireland and Scotland and hosts Australia and New Zealand were also drawn together.
The head coach’s position is under scrutiny as the ECB reviews a dismal Ashes defeat.
Champion jockey back in British action after successful South African trip.