Strathclyde Partnership for Transport has confirmed the winners in documents seen by the Enquirer.
The trio won out from a group of 15 major industry names who submitted PQQs after details of the £30m station refurbishment contract were launched in the OJEU last summer.
The first two contracts have now been awarded under the framework with Graham set to start a £1.7m revamp of Ibrox station and McAlpine a £1.7m overhal of Kelvinhall station.
Work at both station will last until the end of this year and the framework deal for all 15 stations will be in place until 2018/19.