Lanre Oyebanjo's late goal rescued a draw for Histon in David Livermore's first game as manager.
Eastbourne began stronger and Jamie Taylor headed over from six yards before Ross Treleavan fired them ahead after latching onto Matt Smart's pass.
Richard Pacquette could have wrapped up the points but his header was saved.
The Stutes sensed a point was there for the taking and Erkan Okay saw his shot saved by Rikki Banks before Oyebanjo fired home a 25-yard free-kick.
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Histon: Welch, Stewart (Ilesanmi 65), Oyebanjo, Clerima, Zac Mills, Danny Mills, Wootton, Okay, Attwood (Taaffe 46), McCrae, Pavett (Murray 51). Subs Not Used: Lawton, Adjei.
Goals: Oyebanjo 87.
Eastbourne Borough: Banks, Austin, Elphick, Langston, Jenkins, Treleavan, Smart, Weatherstone (Brown 82), Matt Crabb, Pacquette, Taylor (Brinkhurst 76). Subs Not Used: Atkin, Baker, Wills.
Booked: Brown.
Goals: Treleavan 14.
Att: 421.
Ref: Amy Fearn (Leicestershire).
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