PyTorch-BigGraph is a graph embedding system that has embedded Wikidata items. https://github.com/facebookresearch/PyTorch-BigGraph
A trained model is available: "The model contains 78 milion entities, 4,131 relations and the dimension of the embeddings is 200." The TSV file that can be downloaded is probably over 100GB and when loaded into a system may be around that size as around 8 characters are used to represent each float. The size presents a problem if it should be running on Wikimedia servers.