Three other passengers were treated at the scene of the incident at Aviemore station in the Highlands.
Two people have been treated in hospital after a collision involving the Flying Scotsman locomotive and the Royal Scotsman at a station in the Highlands.
The incident happened at low speed at about 18:15 on Friday at Aviemore Station.
A man and woman sustained minor injuries and were released after being taken to Raigmore Hospital, Inverness.
A number of people were assessed at the scene but did not require treatment.
Belmond said a “shunting incident” occurred when the Flying Scotsman – which was visiting the station for an excursion – was being coupled with the company’s Royal Scotsman carriages.
At the time the carriages were stationary on the Strathspey Railway line.
A spokesman said: “Appropriate authorities were notified immediately, and we are co-operating with their investigations.”
Police Scotland said inquiries were ongoing to establish the full circumstances.
ScotRail said services were now able to run normally through Aviemore.
The operator added the emergency response was focused on the private heritage line, near to the main line which links the Highlands with the central belt.
The Flying Scotsman was scheduled to be running trips this weekend.
A spokesman for Network Rail said: “It’s on a heritage railway line, it’s not our infrastructure.
“We are saying to passengers to check before travelling.”
British Transport Police confirmed officers were working with Police Scotland.
Scotland’s First Minister Humza Yousaf thanked the emergency services on social media.
He added: “My thoughts with those affected, I wish them a speedy recovery.”
Image source, National Railway Museum
The newly restored Flying Scotsman was unveiled last year ahead of a series of events to celebrate its centenary.
The 97-tonne locomotive was built in Doncaster in 1923, and is now owned by the National Railway Museum in York.
The steam locomotive was the first in the UK to officially reach 100mph, and was the first-ever service to run non-stop from London to Edinburgh.
It is owned and operated by the National Railway Museum but maintained by Riley & Son (E) Ltd, based in Heywood, Greater Manchester.
As part of its centenary year, the locomotive is visiting railway stations around the UK and has spent time at the National Railway Museum.