It is permissible to have a meal for a siyum, brit milah, or Sheva Brachot on Yom Tov or Shabbat and it isn’t an issue of ein osin mitzvot chavilot chavilot.[1]
If someone sends mishloach manot to a poor person he can fulfill the mitzvot of mishloach manot and matanot levyonim simultaneously.[2]
Sources
↑Chazon Ovadia Purim p. 159 citing the Mahari Akrish. The reason is that ein osin mitzvot chavilot is only if one is doing two actions or speeches to accomplish two mitzvot but if one does only one action to accomplish two mitzvot, that isn’t mitzvot chavilot.