The arrests are in connection to an incident that occurred just after 5.05pm on Sunday (December 29) in Bicester Shopping Park, Pioneer Way, near Pure Gym.
A man, who was stabbed at the scene, is in a serious but stable condition and remains in hospital, police have confirmed.
Thames Valley Police say an 18-year-old man from Bicester has been arrested on suspicion of attempted murder.
A 30-year-old man from Bicester has also been arrested on suspicion of attempted murder and attempting to pervert the course of justice.
They both remain in custody at this time.
Detective Inspector George Atkinson, from the criminal investigation department (CID), said: “We have made two arrests in connection with this incident but we continue to appeal for witnesses.
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“We still believe that there is no wider risk to the local community but appreciate the concern that it may cause.
“If you were in the area or believe that you witnessed this incident, please contact Thames Valley Police.
“If you have dash-cam, mobile phone or CCTV footage that may assist this investigation, please get in touch.
“You can report online or by calling us on 101, quoting the reference 43240627457.
“If you don’t wish to speak directly with police, you can also call the independent charity Crimestoppers anonymously on 0800 555 111.”
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