Beaten promotion finalists AFC Fylde are hoping to go one better this season and looked good against Championship side Wigan Athletic - edging them 1-0.
Slough Town and Eastleigh played out a goal-fest at Arbour park with the away side edging a seven-goal thriller.
Torquay United stepped up their preparations for the National League with a 5-0 thrashing of Bideford Town.
Goals were on the menu again for Stockport County - the Hatters bagging ten goals without reply against neighbours Stockport Town.
Seven, seven, seven for Hartlepool United, Harrogate Town and Chelmsford City.
Craig Hignett's side defeated Newton Aycliffe, Haringey Borough felt the wrath of Chelmsford while Harrogate toppled nearby Knaresborough.
Colby Bishop opening the scoring for Leamington as they held Walsall.
Ian Evatt called Barrow's 2-1 defeat to Furness Select as "rude awakening" for his side after letting their first-half lead slip.
Billericay Town impressed assistant boss Jamie O'Hara despite slipping to a 3-2 defeat to fellow Essex side Southend United.
Wrexham were in Portugal but found it tough against Portimonense - slipping to a single-goal reverse.
City rivals Oxford City and Oxford United shared eight goals with the National League South side eventually losing 5-3.
Dagenham & Redbridge have secured some impressive signatures and overcame Concord Rangers 4-0.
Glenn Driver is looking to bounce back at the first attempt with Braintree Town who were held by Coggleshall Town.
AFC Telford were 3-1 winners away at Market Drayton while Curzon Ashton beat Stalybridge Celtic by the same scoreline.
Darren Currie praised the attitude of his Barnet side after they put five past Berkhamsted.
Dartford played out a 1-1 draw with Ebbsfleet United.
Elsewhere, Colchester United defeated Dulwich Hamlet 2-0 at Champion Hill.
New boys Tonbridge Angels hit East Grinstead for four. They will meet Maidstone United in the National League South who drew with Folkestone.
Spennymoor Town won 6-0 over West Auckland, Bromley overcame Welling by three goals to one and Dover were held by Beckenham.