Police are examining any potential links to a high-value theft which occurred close to the scene of the Giffnock robbery on the same night.
A five-figure sum of cash and jewellery with a similar value was stolen from a house in Ellon Way, Paisley - around seven miles from the Giffnock property targeted - between 5.30pm and 9.30pm on Monday.
No evidence of a link has yet been established but detectives are not ruling it out.
Among the items stolen was wedding jewellery including a ring and necklace.
No-one was in the Paisley house at the time of the robbery.
Detective Sergeant Nathan Calderwood said: "Thankfully there wasn't anyone in the house at the time of the break-in, however to come back and find that someone has been inside your home and stolen personal items is very upsetting.
"To make matters worse, the jewellery stolen was wedding jewellery, including a traditional gold Asian wedding necklace, and so had significant sentimental value.
"Officers have been speaking to neighbours and are checking CCTV in the area to identify those responsible for the break-in but are still appealing to anyone who may have seen people acting suspiciously around the house at the time to contact them.
"If you have any information that will assist officers with their investigation then please contact Paisley CID via 101, or Crimestoppers on 0800 555 111 where details can be given in confidence."
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