Steve King’s new-look Sports side led twice, through Terrell Egbri and Kai Corbett, but each time they were pegged back.
Even so they were the only one of five Sussex sides in the division to take a point on day one, with Lewes, Burgess Hill, promoted Three Bridges and Whitehawk all losing their first matches.
Borough go again when Bridges visit Priory Lane on Tuesday.
See pictures from Aveley 2 Borough 2 by Lydia and Nick Redman on this page and those linked and get all the Borough latest in the Eastbourne Herald, out on Friday.
9. Lydia Redman
Aveley v Eastbourne Borough, Isthmian Premier Photo: Lydia Redman : Lydia and Nick Redman
10. Lydia Redman
Aveley v Eastbourne Borough, Isthmian Premier Photo: Lydia Redman : Lydia and Nick Redman
11. Lydia Redman
Aveley v Eastbourne Borough, Isthmian Premier Photo: Lydia Redman : Lydia and Nick Redman
12. Lydia Redman
Aveley v Eastbourne Borough, Isthmian Premier Photo: Lydia Redman : Lydia and Nick Redman