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We describe several exotic fusion systems related to the sporadic simple groups at odd primes. More generally, we classify saturated fusion systems supported on Sylow 3-subgroups of the Conway group 
$\textrm{Co}_1$ and the Thompson group 
$\textrm{F}_3$, and a Sylow 5-subgroup of the Monster M, as well as a particular maximal subgroup of the latter two p-groups. This work is supported by computations in MAGMA.
$2$ Simple Groups of Lie Type
For any prime p and S a p-group isomorphic to a Sylow p-subgroup of a rank 
$2$ simple group of Lie type in characteristic p, we determine all saturated fusion systems supported on S up to isomorphism.
