Italy soon will join France in applying a new tax on large tech companies, a move that could deepen trans-Atlantic trade tensions and snarl up already-faltering negotiations over how best to tax companies such as Facebook Inc. and Google parent Alphabet Inc.

The new tax, passed this week by Italy’s parliament, will take effect Jan. 1. Similar to the tax implemented this year in France, Italy’s imposes a 3% levy on revenue on some digital revenue for companies with more than €750 million in global revenue, including least €5.5…

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