The Commission said it had informed Broadcom of its objection that the deal could restrict competition in the global markets for the supply of so-called fibre channel host bus adapters (FC HBAs) and storage adapters, by limiting access for competitors' hardware to VMware's software.
The EU's objections follow an investigation into the deal opened in December last year, over concerns it would allow Broadcom to restrict competition in the market for specific hardware components which interoperate with VMware's software.
Sources told Reuters in February that Broadcom was set to receive an EU antitrust warning about the possible anti-competitive effects of its billion bid.
Broadcom has the opportunity to reply to the Commission's objections and to request an oral hearing.
Broadcom said it remained confident that regulators will eventually conclude that the takeover does not present any competition issues, and said it expected to close the deal "in fiscal year 2023".