Goals from Miguel Scarlett and – with his third in two games – on-loan Southampton striker Luke Pearce put Borough 2-1 up in the second half but the Essex visitors denied the hosts a win with a late equaliser.
It means Borough remain 11th in the table – four points off the play-off zone.
See pictures by Lydia and Nick Redman on this page and the ones linked, and get the Borough latest in the Herald on Friday.
![Action from Eastbourne Borough's 2-2 draw with Chelmsford City in National League South at Priory Lane](https://www.sussexexpress.co.uk/webimg/b25lY21zOmI0OTA1Mzc1LTM3NGMtNGQyNC04ZTc1LTNjN2JiYTExOTg4ODoxM2I1MWM3NS0zNmU4LTQ2YzgtOTQ3YS1mZDRkZWUzMTM0OTU=.jpg?crop=3:2&width=640)
1. Eastbourne Borough v Chelmsford City pictures by Lydia and Nick Redman (22).jpg
Action from Eastbourne Borough's 2-2 draw with Chelmsford City in National League South at Priory Lane Photo: Lydia and Nick Redman
![Action from Eastbourne Borough's 2-2 draw with Chelmsford City in National League South at Priory Lane](https://www.sussexexpress.co.uk/webimg/b25lY21zOmZhY2E0OTcxLTgxOGUtNDU3OC1hYTMwLTFmMGFiY2M4YTE3OTpiZmQxZjdkYi0zMDQ5LTRkMDQtOGU0OS0xYzk5ZDVjZjYyNWU=.jpg?crop=3:2&width=640)
2. Eastbourne Borough v Chelmsford City pictures by Lydia and Nick Redman (39).jpg
Action from Eastbourne Borough's 2-2 draw with Chelmsford City in National League South at Priory Lane Photo: Lydia and Nick Redman
![Action from Eastbourne Borough's 2-2 draw with Chelmsford City in National League South at Priory Lane](https://www.sussexexpress.co.uk/webimg/b25lY21zOmMxNzQ0ZDZmLWI5NGUtNGRmYi1iNTljLWM2NzZkYWIwNzJjODphYTEzYmM4Zi1kMzNlLTQ1NzItYTU5OS1jNjQ1NTU3MWNlYzg=.jpg?crop=3:2&width=640)
3. Eastbourne Borough v Chelmsford City pictures by Lydia and Nick Redman (36).jpg
Action from Eastbourne Borough's 2-2 draw with Chelmsford City in National League South at Priory Lane Photo: Lydia and Nick Redman
![Action from Eastbourne Borough's 2-2 draw with Chelmsford City in National League South at Priory Lane](https://www.sussexexpress.co.uk/webimg/b25lY21zOmQ5ZmFmYjI3LTE5YjYtNGY1My1hNTkyLTRiMTY4NDZmNTY3ODo2MjQ2YWRkNC0zYjQ4LTQ5ZWEtOTI3Ny01M2U5MzE1Y2ZkMzg=.jpg?crop=3:2&width=640)
4. Eastbourne Borough v Chelmsford City pictures by Lydia and Nick Redman (21).jpg
Action from Eastbourne Borough's 2-2 draw with Chelmsford City in National League South at Priory Lane Photo: Lydia and Nick Redman