You can define additional arguments in custom save method of model like this:
class MyModel(models.Model):
....
def save(self, *args, **kwargs):
super(MyModel, self).save(*args, **kwargs)
self.my_extra_param = 'hello world'
And access this additional argument through instance in post_save signal receiver:
@receiver(post_save, sender=MyModel)
def process_my_param(sender, instance, *args, **kwargs):
my_extra_param = instance.my_extra_param