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  Substitutes Cian Bolger and Ashley Hunter and Amari'i Bell all netted in the first half of extra time as Fleetwood booked their place in the second round on boss Uwe Rosler's 48th birthday.
  The result was harsh on the visitors who started well although Fleetwood looked content to grind down the opposition and their patience was rewarded before the break.
  Devante Cole skipped past Ryan Higgins, cutting in from the right and delivering a ball to the back post where Aaron Amadi-Holloway was lurking. The striker did not make clean contact but his deflected finish was enough to hand the League One side the lead.
  The second half was all Southport and former Fleetwood forward Jamie Allen should have levelled when a defensive mistake left him unmarked five yards out, with goalkeeper Alex Cairns springing to the rescue for under-fire Fleetwood.
  With four minutes remaining the visitors were rewarded for their pressure, as substitute Ashley Grimes barged through a crowded box and smashed Southport level from close range.
  But Fleetwood hit back, with Hunter's curling strike forcing a fine save from Norman.
  It was a brief reprieve for Steve Burr's men, Hunter drilling the resulting corner into the path of makeshift striker Bolger, who scored with a powerful header.
  Hunter then sealed Fleetwood's progress two minutes later, racing clear on a slick breakaway and smashing the ball low under Norman.
  Hunter was instrumental as Rosler's League One side further skewed the scoreline, stealing in from the left to tee up Bell for a deflected fourth.
  Report supplied by the Press Association.
  Match ends, Fleetwood Town 4, Southport 1.
  Second Half Extra Time ends, Fleetwood Town 4, Southport 1.
  Attempt saved. Devante Cole (Fleetwood Town) right footed shot from the centre of the box is saved in the top centre of the goal.
  Attempt blocked. James Gray (Southport) right footed shot from the centre of the box is blocked.
  Attempt saved. Devante Cole (Fleetwood Town) right footed shot from the centre of the box is saved in the centre of the goal.
  Attempt missed. Ashley Hunter (Fleetwood Town) right footed shot from outside the box misses to the left.
  Jordan Lussey (Southport) wins a free kick in the attacking half.
  Foul by Eggert Jónsson (Fleetwood Town).
  Corner,  Fleetwood Town. Conceded by Magnus Norman.
  Corner,  Fleetwood Town. Conceded by Ross White.
  Corner,  Fleetwood Town. Conceded by Jordan Lussey.
  Second Half Extra Time begins Fleetwood Town 4, Southport 1.
  First Half Extra Time ends, Fleetwood Town 4, Southport 1.
  Substitution, Southport. Ross White replaces Ryan Higgins because of an injury.
  Corner,  Southport. Conceded by Nathan Pond.
  Attempt blocked. Ashley Grimes (Southport) right footed shot from outside the box is blocked.
  Attempt missed. Ashley Grimes (Southport) right footed shot from the centre of the box misses to the left.
  Attempt missed. Devante Cole (Fleetwood Town) right footed shot from the right side of the box misses to the left.
  Goal!  Fleetwood Town 4, Southport 1. Amari'i Bell (Fleetwood Town) left footed shot from the left side of the six yard box to the bottom left corner. Assisted by Ashley Hunter.
  Foul by Ashley Eastham (Fleetwood Town).
  James Gray (Southport) wins a free kick in the attacking half.
  Goal!  Fleetwood Town 3, Southport 1. Ashley Hunter (Fleetwood Town) left footed shot from the centre of the box to the centre of the goal. Assisted by Kyle Dempsey.
  Goal!  Fleetwood Town 2, Southport 1. Cian Bolger (Fleetwood Town) header from very close range to the top left corner. Assisted by George Glendon with a cross following a corner.
  Corner,  Fleetwood Town. Conceded by Magnus Norman.
  Attempt saved. Ashley Hunter (Fleetwood Town) right footed shot from outside the box is saved in the top right corner.
  Foul by Victor Nirennold (Fleetwood Town).
  Neil Ashton (Southport) wins a free kick on the right wing.
  Amari'i Bell (Fleetwood Town) wins a free kick in the attacking half.
  Foul by Liam Nolan (Southport).
  Attempt missed. George Glendon (Fleetwood Town) right footed shot from outside the box misses to the right.
  First Half Extra Time begins Fleetwood Town 1, Southport 1.
  Second Half ends, Fleetwood Town 1, Southport 1.
  Corner,  Fleetwood Town. Conceded by Neil Ashton.
  Attempt blocked. Ashley Hunter (Fleetwood Town) right footed shot from the right side of the box is blocked.
  Attempt missed. Ashley Hunter (Fleetwood Town) left footed shot from the right side of the box is close, but misses to the right.
  Attempt missed. Kyle Dempsey (Fleetwood Town) left footed shot from the left side of the box is high and wide to the left.
  Attempt saved. Ashley Hunter (Fleetwood Town) right footed shot from the left side of the box is saved in the top right corner.
  Corner,  Fleetwood Town. Conceded by Ryan Higgins.
  Goal!  Fleetwood Town 1, Southport 1. Ashley Grimes (Southport) right footed shot from very close range to the centre of the goal. Assisted by Callum Howe.
  Substitution, Southport. James Gray replaces Andrai Jones.
target: Fleetwood scored three goals in eight minutes in extra time to claim victory over Southport and end the non-league side's hopes of causing an FA Cup upset.