Police are appealing for witnesses following the attack on Wednesday.
West Mercia Police said that at about 8.30pm a woman in her 60s was walking through the underpass near to Parkway Woodside roundabout, when she felt a pull on her shoulder and then a pull on her handbag.
After a struggle in which she sustained her injuries the victim was able to keep hold of her bag and made her way home.
A spokesman for the police said: " Robbery is an incredibly serious offence and means that force or fear was likely used by the suspect which in this case, has resulted in the victim suffering a facial injury. We appreciate that this distressing incident has raised local concern, so we encourage anyone with additional information to contact us."
Anyone who was in the area at the time and witnessed this incident is urged to call Telford Police Station on 01952 214610 referencing incident number 00616_i of 28 July 2021.
Alternatively, contact Crimestoppers anonymously on 0800 555111 or at crimestoppers-uk.org