
Phasics |

As written no
But I think you'd find more than just a few Summoners who apply the Augment Summoning Feat to their SLA Summon ability. So you might be able to swing this with your GM
But you can apply the SLA feats like empower, maximise and quicken to the summoners SLA , e.g. if you used Summon Monster 3 SLA to summon 1d3 level 2 monsters you could use the maximise SLA feat to guarantee you get 3 summoned monsters every time.

Hakken |

I think most apply augment summoning to the SLA. Otherwise it would not make sense for a master summoner who gets 5+cha modifier of SLA monster summoning to get augment summon as a 2nd level ability. what would he use it on? with likely 8 to 10 SLA summons, they probably wont get the spell. It does not work on the eidelon however as that is a ritual summon.

Phasics |

I think most apply augment summoning to the SLA. Otherwise it would not make sense for a master summoner who gets 5+cha modifier of SLA monster summoning to get augment summon as a 2nd level ability. what would he use it on? with likely 8 to 10 SLA summons, they probably wont get the spell. It does not work on the eidelon however as that is a ritual summon.
Summon Monster is on the Summoners spell list so if he takes those as known spells then he can use Augment Summoning on them.
Look I'm not disputing that it makes sense that it should augment a summoners SLA's, I'm just saying there are no rules to support it.
Consider if you allow this what else gets allowed, spell focus? Spell Specialization? to your SLA's ?

Phasics |

The spell like ability does work with Augment Summoning.
Jason Bulmahn wrote:Andrew Betts wrote:
Can Augment Summoning also affect monsters summoned through this Spell-Like Ability?Yes
Jason Bulmahn
Lead Designer
Paizo Publishing
Interesting, opens up a can of other options if that's the case.
Well then OP I think you'd be justified in having the spider summon work for your summoner