Put the babas to soak in the syrup for 20 minutes, then strain for 20 minutes, before resoaking them in the syrup, this time with the rum added in advance. Put them in the chiller for 10 minutes, then apply the neutral glaze to the babas with a brush and put them to one side on a rack.
Brunoise (finely dice) the mangos. Caramelise half of the diced mangoes in the olive oil and lemon juice. Deglaze with the passion fruit pulp. Leave to cool. Fill the centre of each baba with the mixture. Make the chantilly with Elle & Vire® Sublime, Cream with Mascarpone and sugar. Using a bag fitted with a star piping nozzle, create a rose shape to cover the centre of the baba. Sprinkle with the remaining diced mangos and add a light sprinkling of lime zest to decorate. Serve at room temperature.