Bro, I have Vitz, and I am already using its recommended oil grade.
OP was using Total 5000 series 10w-40, and asked for better recommendations. The Senior member recommended to continue the same oil, or try Shell or Caltex.
I proposed ZIC in comparison to Shell, Total, and Caltex, as they all 03 are mineral based and may be, based on old API ratings.
5w-40 will provide better cold start-up than 10w-40, and Technically, they should behave ideally at optimum working temperature of engine, still, 5w-40 would be a bit "thinner" than 10w-40 (considering their viscosities at 40 and especially 100 degree Celsius).