Finally, a "sort of" test case :) 

#!/usr/bin/perl

use strict; # https://perlmonks.org/?node_id=11129253
use warnings;

local $_ = <<END;

Point 1.3.4: A piece of text.

Point 1.3.5: A piece of text.

Point 1.3.6: Another piece of text. Point 1.3.6: For some reason this 
+piece of text isn't finished yet.

Point 1.3.6: In fact, this piece of text even broke into a new line.

Point 1.3.7: Finally, a new piece of text.

END

my @parts;
push @parts, $& while / (Point\s[\d.]+:) .*? (?=Point|\z) (?!\1) /gsx;

use Data::Dump 'dd'; dd \@parts;

[download]

Outputs four chunks, just like you asked for: 

[
  "Point 1.3.4: A piece of text.\n\n",
  "Point 1.3.5: A piece of text.\n\n",
  "Point 1.3.6: Another piece of text. Point 1.3.6: For some reason th
+is piece of text isn't finished yet.\n\nPoint 1.3.6: In fact, this pi
+ece of text even broke into a new line.\n\n",
  "Point 1.3.7: Finally, a new piece of text.\n\n",
]

[download]

In reply to Re: How to enforce match priority irrespective of string position by tybalt89
in thread How to enforce match priority irrespective of string position by Polyglot

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