Southport led after 71 minutes when James Gray broke the deadlock, only for Will Evans to equalise eight minutes later.
The hosts had looked dangerous on the break in the first half and finally took the lead when Gray finished well past Jake Cole with a well-driven shot.
Southport then looked to sit deep as the Shots pressed for an equaliser. It didn't take long to come with Evans lashing home after a brilliant counter-attack involving Jake Gallagher and Shamir Fenelon.
Shots went closest to a winner as Walker and Fenelon again combined without finding the net.
Report supplied by the Press Association.
Match ends, Southport 1, Aldershot Town 1.
Second Half ends, Southport 1, Aldershot Town 1.
Jake Gallagher (Aldershot Town) is shown the yellow card for a bad foul.
Substitution, Southport. Declan Weeks replaces Jordan Lussey.
Goal!  Southport 1, Aldershot Town 1. Will Evans (Aldershot Town).
Substitution, Southport. Ashley Grimes replaces James Gray.
Goal!  Southport 1, Aldershot Town 0. James Gray (Southport).
Substitution, Aldershot Town. Charlie Walker replaces Scott Rendell.
Substitution, Aldershot Town. Iffy Allen replaces Dion Conroy.
Jordan Lussey (Southport) is shown the yellow card.
Second Half begins Southport 0, Aldershot Town 0.
First Half ends, Southport 0, Aldershot Town 0.
First Half begins.
Lineups are announced and players are warming up.

The boy's body was recovered from the River Ericht at Cally Bridge, near Blairgowrie, at about 12:35.
He had been reported missing from a property in the nearby Milton of Drimmie area at 11:15.
Police, firefighters, a water rescue unit and air ambulance were involved in the search. No details on the child's identity have been released.
A Police Scotland spokesman said: "Around 11:15am today, police in Perthshire received a report of a two-year-old boy missing from a property in the Milton of Drimmie area, close to Bridge of Cally, in Perthshire.
"Officers immediately launched a full search of the area, with assistance from the Police Scotland helicopter and Scottish Fire and Rescue Service personnel.
"Around 12:35pm, the child was located in the River Ericht, close to the property. He was removed from the water by fire personnel and treated by paramedics, who had attended the scene with the air ambulance.
"Tragically, the boy did not survive. His family are being supported by officers at this time."
Deputy first minister John Swinney, who is MSP for Perthshire North, expressed his sympathy for the family.
He tweeted: "Heartbreaking news from the River Ericht at Bridge of Cally. My deepest sympathies to everyone involved."
Local councillor Liz Grant, who is provost of Perth and Kinross, said: "It will be absolutely devastating for the family and the community.
"It is a very small community. Bridge of Cally is a small village.
"The River Ericht is fast, the rivers are all fast coming down through that area, particularly at this time of year."
Struggling Southport came close to securing a much-needed win as they drew with Aldershot following a frantic end to their National league clash at Haig Avenue.
[NEXT_CONCEPT]
A two-year-old boy has been found dead in a river after being reported missing in Perthshire.