The invention relates to a process for producing an upgraded renewable oil from renewable carbonaceous material(-s) comprising providing a low sulphur oxygen containing renewable crude oil having a sulphur content of less than 0.5 wt % and an oxygen content from about 2.0 wt to about 20 wt %, pressurising the low sulphur oxygen containing renewable crude oil to an operational pressure in the range 20 to 200 bar, adding and mixing hydrogen to the pressurized low sulphur oxygen containing crude oil, heating the oil to an operational temperature in the range 180-410° C. in one or more steps, contacting said oil with at least one heterogeneous catalyst contained in a first reaction zone, contacting the effluent from said first reaction zone with at least one heterogeneous catalyst contained in a second reaction zone, where in at least one of the heterogeneous catalysts in the first reaction zone and/or the second reaction zone is on a non-sulphided form.