Ed Chapman's troops battled through driving wind, rain and hale at Blatchington Mill School to leave with a deserved point.
After a slow start, in-form striker James Bunday blasted the ball home from nine yards out after good build up play from Sol Buckner and James McIntyre in the 15th minute.
But the hosts hit back minutes later on the break leaving young keeper Nathaniel Webster stranded.
Saxons then poured forward but could not find a way past a keeper in inspired form.
The second half saw the visitors camp in Brighton's half but despite several chances couldn't unlock a determined rear guard.
The result leaves Saxons in second place, three clear of promotion rivals Crawley III.
Saxons welcome 'mid table' St Francis II to Horntye Park tomorrow (SAT) for a 3pm pushback.