Heat the oil in a pan, sauté the shallot for approx. 5 mins. Add the apricots, sugar, vinegar and water, mix, cover and simmer over a low heat for approx. 10 mins., allow to cool slightly. Add the tarragon, season.
Brush the steaks with oil, season. Grill the steaks over/on a medium heat (approx. 220 °C for approx. 7 mins. on each side, serve with the apricot chutney.