Begin by preparing the blackberry puree. This needs to cool before it can be added in to the Swiss meringue buttercream.In a medium saucepan, combine blackberries, lemon juice, and sugar.
Over medium-high heat, bring the mixture to a gentle boil. Stir continuously to avoid burning. Reduce heat to medium and allow to simmer for about 6-8 minutes. The blackberries will become soft and easy to mash.
Mash blackberries and simmer for 1 more minute.
Remove from heat and pass mixture through a strainer to remove any large blackberry pieces. (Note, I like keeping small pieces of blackberry in my puree because I think it gives a nice texture - you can see the size in the photos above)
Allow to cool completely before adding to buttercream.
While blackberry puree is cooling, prepare the Swiss Meringue Buttercream.
Wipe down your mixing bowl, whisk and paddle attachments with a small amount of white vinegar.
Create a double boiler on your stove by filling a medium saucepan with a couple inches of water. Do not let the water touch the base of the bowl. Put your egg whites and sugar in your bowl and place on top of the saucepan. Give them a whisk to combine.
Cook your egg white/sugar mixture over medium heat stirring constantly until the mixture reaches 160 degrees F on a candy thermometer or until you can no longer feel any sugar granules between your fingertips. The mixture will be hot.
Transfer your egg white/sugar mixture to the bowl of your electric stand mixer with the whisk attachment in place and whisk on high until the outside of your mixing bowl is no longer hot and you’ve achieved stiff peaks in your meringue. This can take between 8-12 minutes.
Switch to the paddle attachment. Turn your mixer to low speed. Add in your cubed butter (2 tablespoon in size) one at a time, allowing each to be incorporated before the next addition.
Scrape down the sides of your bowl, turn mixer to low speed and add in your vanilla and blackberry puree and lemon juice. Make sure to add in slowly or buttercream may separate. If buttercream does appear to separate you can whip on high to combine again.
Turn your mixer up to medium to high speed and mix for about 1 minutes until buttercream is completely incorporated, silky, and smooth.