Cut off the top and bottom of the pineapple. Then cut into slices as thick as a finger or thumb. Cut this in half.
Mix the remaining ingredients and bring to a boil in a saucepan. Always stir well (ventilate well if necessary). After about 5 minutes over medium heat, pour the marinade over the pineapple slices. A flat baking dish is well suited for this.
Cover and let stand in a cool place (it is advisable to prepare one day in advance). Occasionally drizzle the marinade over the slices. If it is too cold, briefly heat the marinade with the pineapple slices.
To grill, place the slices on the grill and cook well. You should get a nice grill pattern and not be too dark but also not particularly light. Then garnish nicely, vanilla ice cream, strawberries and a leaf of mint are suitable.