Independent Clark MHR Andrew Wilkie flagged his wreath of Australian natives with authorities after it arrived at his Hobart office by post on Monday. The social media giant had sent to it "spread some festive cheer".

The state has strict controls on what can be transported in - including by mail - to stop the spread of pests, weeds and diseases from outside the island.

A Department of Primary Industries, Parks, Wildlife and Environment spokesperson said Biosecurity Tasmania were aware of two further floral arrangements, which were now being collected.

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"An investigation is currently underway," they said Tuesday afternoon. "This is an example of our biosecurity system working."

The spokesperson added it was a "timely reminder" to stay vigilant and report suspect items.

One of the further wreaths arrived at the Launceston office of Bass Liberal MHR Bridget Archer on Tuesday afternoon. Staff immediately contacted biosecurity officials, with Ms Archer thanking Mr Wilkie for raising the alarm.

Mr Wilkie's office had raised initial alarms with the officials on Monday, who were "very concerned that the arrangement had not been quarantine cleared and likely contained live seeds and the possibility of serious pests and diseases" after it arrived from Sydney.

That afternoon, a spokesperson for Facebook said they had sent the wreath to Mr Wilkie to "spread some festive cheer" and share information about a business in his electorate featured in their 2019 Gift Guide.

The guide encourages people to support regional businesses during the holiday period.

Facebook did not respond to requests for comment Tuesday.

Biosecurity has been on the mind of many in the state recently after fruit fly larvae found on Flinders Island sparked months-long efforts to return the state to pest free status.

A live Queensland tree frog found its way to Scottsdale with a bunch of bananas in August last year.

Biosecurity Tasmania has agreements in place with other states and producers around its quarantine system, along with border checks by staff who investigate and respond to reported incursions.

The agency's Plant Biosecurity Manual states that packages containing plants and plant products sent by postal service or courier "must be marked for the attention of Biosecurity Tasmania".

Information about what can and can't be brought into that state can be found here.

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