The Walt Disney Co. is in serious talks to buy Pixar Animation Studios Inc., the maker of the hit movies “Toy Story” and “Finding Nemo” among others, following months of exploring how to continue their profitable film distribution partnership, The Wall Street Journal reported Thursday.

Citing unnamed people familiar with the plan, the Journal said Disney would pay a nominal premium to Pixar’s current market value of $6.7 billion under the deal being discussed in a stock transaction that would make Pixar chief executive Steve Jobs the largest individual shareholder in Disney.