Officers initially raced to Meeks Road in Falkirk after being alerted to a call concerning a man’s welfare.
Emergency services and other specialist services including police negotiators also attended the incident which is still ongoing and has now moved into the Meeks Road car park near Morrisons supermarket.
A Police Scotland spokesperson said: “Police in Falkirk responded to Meeks Road at around 8.50am on Thursday 22nd August following report of concern for the wellbeing of a man.
“Local and specialist officers remain in attendance to engage with the man and ensure this incident is resolved safely.”
A British Transport Police spokesman added: “BTP officers were called at 10.07am on August 22 to the car park of Falkirk Grahamston station following a report concerning the welfare of a man who is reported to be carrying a knife.
“Officers are currently at the scene and are engaging with the man. As a precaution the station has been cleared of passengers and trains are currently not stopping at the station.”
A spokeswoman for Morrisons confirmed the supermarket car park has been cordoned off but the shop itself remains open to customers.