Police were called at around 10.30pm on Saturday, July 23, to a seriously injured woman in Hazel Drive, Walton.
The woman, who is in her 50s, is believed to have been involved in a road traffic collision.
She remains in hospital in a critical condition and officers are continuing their enquiries into the circumstances of how she came by her injuries.
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Anyone who may be able to help with the investigation is asked to contact Derbyshire Constabulary using any of the below methods, including refence 22*426209.
Facebook – send a private message to /DerbyshireConstabulary
Twitter – direct message the contact centre on @DerPolContact
Website – complete the online contact form via www.derbyshire.police.uk/contact/af/contact-us/
Phone – call 101.
You can also anonymously contact the independent charity Crimestoppers, on 0800 555 111 or by visiting www.crimestoppers-uk.org.