Fit a piping bag (decorating bag) with a small round tip (wilton #12). Fill bag with about ½ cup of buttercream. Set aside.
Level cake layers as necessary. Place one cake layer on serving platter or cake turntable. Brush or drizzle passion fruit syrup over cake. Spread a thin layer of buttercream (about 6 Tbsp) over cake layer using a small offset spatula.
Use the filled piping bag, pipe a double border of buttercream along the perimeter of cake round. This will serve as barrier when curd is added.
Add ⅓ cup of passion fruit curd to center of cake. Spread to fill within the buttercream boundaries. Place second cake layer on top. Repeat soaking cake, adding buttercream, and curd.
Place final third layer on top. Soak cake layer with syrup. Spread buttercream all around the cake to create a "crumb coat" layer to seal in any crumbs. Chill cake in the fridge for 20 minutes to set frosting.
If desired, coat chilled cake with additional buttercream. Use a small leaf piping tip (wilton #352) to pipe decorative border on top of cake.
Keep cake chilled until ready to serve. Rest cake at room temperature for about 30 minutes before slicing and serving to soften buttercream frosting.