As well as bringing in the veteran England frontman Jermain Defoe, Bournemouth manager Eddie Howe has also been able to acquire the services of goalkeeper Asmir Begovic and defender Nathan Ake, in a £20million deal, from Chelsea as the south-coast club step up their ambitions to become established among the Premier League elite.
There was a sense of inevitability about West Brom's strike - having scored 49% of their goals last season from set-pieces, they continued that run with the aid of some poor Bournemouth defending.
Jay Rodriguez, another off-season arrival for the Baggies, had gone close on a couple of occasions prior to Hegazi's header, while Bournemouth looked uncharacteristically bereft of attacking verve in their quest for an equaliser.
After an injury-ravaged couple of seasons, Rodriguez was looking full of vim and vigour in his new surroundings and stung the palms of Begovic with a rasping drive before bending a measured effort agonisingly wide of the far post midway through the half.
- The Baggies had 28.8 per cent possession in this match - the 15th occasion that WBA have had less than 30 per cent possession in a Premier League game under Pulis.
West Bromwich Albion have become the latest club to announce a sleeve sponsor after they announced a new partnership with online bookmaker 12Bet.
Bournemouth made one change at half time, introducing former Liverpool star Jordon Ibe, replacing Marc Pugh, in an attempt to turn their possession into goals.
Early stages of the second half were very similar to the first 45 minutes.
He was first to a free-kick from Chris Brunt and powered his header past Amir Begovic in the Bournemouth goal.
Ahmeh Hegazi, an Egyptian worldwide signed by Tony Pulis this summer to stop West Brom conceding goals, set Albion on their way to a much-needed morale-boosting victory with one of his own.