According to the report, Pulis has abandoned his bid for Tottenham defender Kevin Wimmer.
The Telegraph has also claimed that West Brom are preparing to sell central defender Jonny Evans to Manchester City.
Former Paris Saint-Germain centre-back Sakho spent the second half of the 2016-17 campaign on loan at Crystal Palace.
The 27-year-old’s performance at the back was important in the London club staving off relegation to the Championship at the end of last season.
The Birmingham Mail has claimed that the France international turned down a loan move to West Brom in the summer of 2016.
Meanwhile, Oliver Burke has taken to Twitter to express his delight after joining Premier League club West Brom from Bundesliga outfit RB Leipzig for a transfer fee reported by The Daily Mail to be worth £15 million.
Oliver Burke (@OliverBurke55) August 25, 2017
Thanks to everybody for the kind messages!— Oliver Burke (@OliverBurke55) August 25, 2017