Greaves handled the main Sunday Telegraph magazine while its A5 TV listings guide was handled by Chantry.
Polestar won back the Telegraph work late last year, at the expense of St Ives and Gruner+Jahr.
The Telegraph's Saturday supplements, currently printed in Germany at G+J, will move to Polestar Sheffield in September.
Telegraph Group publishing director Paul Brady said: "It is good to be printing in the UK again and we are particularly pleased to be renewing our relationship with Polestar. We are very excited by what the group now has to offer across its sites, in terms of technology and service."
At Sheffield the second Cerutti has been commissioned, producing the Mail on Sunday's Night & Day magazine as its first live job.
Managing director Stephen Clark said the first press was performing beyond expectations: "Using what we have learnt during its start up process, we have every confidence that the second press will also provide the levels of productivity and quality we require, on schedule."
The plant's third Cerutti is currently being installed with commissioning set for July.
Story by Jo Francis
Have your say in the Printweek Poll
Related stories
Latest comments
"That's a serious bit of kit and a lovely looking factory!! These guys run an amazing business!
Congrats to the Rapidity Team! Glad i'm out of the game now and not trying to compete!"
"Sad news as always, but blaming it on the latest budget is a bit off, when it seems that the writing was already on the wall. It looks like this was the tipping point, but certainly not the cause. It..."
"A win for Trump, is a win for America's businesses"
Up next...
Local businessman new owner
Spirit Label Solutions bought out of administration
£1.5m investment in litho
Rapidity reopens litho division with a bang
Faster, more efficient workflows