Today's Herald reports that the Warriors will be signing Gibson, a former All Black, Brown, the Scotland flanker, and Fa'atau, a Samoa international winger.
Sean Lineen, the Glasgow head coach, said yesterday that he could not yet confirm any signings other than those already officially announced.
"We are very hopeful of being able to do so shortly once all the paperwork is in place," he said in The Herald.
It was already known that Michael Collins, the former Waikato Chiefs captain, and Chris O'Young, the Western Force scrum-half, will be joining, along with Dougie Hall, the Scotland hooker who first signed professional terms with Glasgow before switching to Edinburgh.
The Herald also reports that Moray Low has earned a full-time contract, while Mike Adamson has also been upgraded from an apprentice contract. Max Evans is also thought to be joining the Warriors on a longer term deal. Ed Kalman, originally a product of Whitecraigs, has had an excellent season with Border Reivers and has been joined in moving from them to Glasgow by the Dundonian Richie Vernon.
Daryl Gibson brings a wealth of experience as a four-time Super 12 winner with Canterbury Crusaders who won 19 caps for the All Blacks. He is currently helping Leicester Tigers try to complete an unprecedented treble. They have won the Anglo-Welsh Trophy and have the Guinness Premiership and Heineken Cup finals still to come.
Lome Fa'atau is a top-class finisher who was the leading try-scorer in last year's Super 14 when he helped Wellington Hurricanes reach the final.
Kelly Brown was recently voted players' player of the year at the Scottish Professional Rugby Association awards and, following news that the Border Reivers were to be disbanded, his signature has been very much sought after.