The SBITOP, which tracks the most liquid and highly capitalised stocks on the LJSE, increased 0.43% to 779.54 points after rising 1.16% on Monday.
Four of the eight blue chips of the LJSE closed lower, two rose while retailer Mercator [LJE:MELR] and port operator Luka Koper [LJE:LKPG] ended flat at 72 euro ($88.6) and 23.5 euro, respectively.
Insurer Zavarovalnica Triglav [LJE:ZVTG] led the blue-chip gainers, closing 2.02% up at 22.75 euro.
Reinsurer Pozavarovalnica Sava [LJE:POSR] led the SBITOP decliners, closing 1.24% down at 15.9 euro.
Drug maker Krka [LJE:KRKG] was the most traded blue chip with 15,718 shares changing hands. The stock closed 1.74% up at 58.5 euro.
Total daily turnover on the LJSE was almost unchanged at 2.1 million euro on Tuesday.
($=0.8134 euro)