There are 3 train companies operating 4 routes - IC 311, S1, EC 213, 651. The cheapest train costs $44 and is 2h 49min.
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There are 3 ways to travel from KLU to ZAG. 1 flight, 3 trains and 1 by car are possible between the two areas. The by car from KLU to ZAG is the cheapest. The by car from KLU to ZAG is the fastest. The train operated by running from Klagenfurt Hbf to Zagreb is the most convenient.
It's important to check each mode when booking your ticket so that you can find the best method for you. The cost of each type varies differently, so be sure to use Faretrotter to keep an eye out!