It admitted liability and will also pay compensation to entertainer Shane Richie, former Eastenders actress Lucy Benjamin and BBC creative director Alan Yentob.
The company publishes national titles including the Daily Mirror, Sunday Mirror and Sunday People as well as regional newspapers including the Manchester Evening News.
Six other phone-hacking claims have already been settled.
They relate to former England manager Sven Goran Eriksson, footballer Garry Flitcroft, actor Christopher Ecclestone, showbusiness agent Phil Dale, Richie’s wife Christine Roche and Abbie Gibson, a former nanny of David and Victoria Beckham.
A further 19 claims are registered at the High Court and another 10 claimants have indicated they will bring proceedings against Trinity Mirror.
The company is thought to have set aside £8m to £9m to settle phone hacking claims and legal costs.
There’s been no statement about the settlement as yet from Gulati who became a household name for her role as Sunita Alahan in Coronation Street and later a familiar face on Loose Women.