GE Vernova signed a power sector alliance, which Rodriguez singled out due to Venezuela's electricity deficit that has left households without power for hours and hobbled industries.
Venezuelan businessman Alejandro Betancourt was not seen at the ceremony, days after his company NABEP signed the separate deal with Washington to gain access to a fifth of Venezuela's oil reserves.
Wright and Rodriguez defended the choice of the NABEP partnership to reporters on Wednesday.
"NABEP is the second-largest producer (in the country), it is a company with scale, technology, a proven track record and is Venezuelan," Wright said, adding that the U.S. will have strict control over the flow of funds.
Eni, which shares an offshore gas project with Repsol and a shallow water oil project with PDVSA, will expand to the large Junin 5 heavy oil area in the Orinoco Belt, where it plans to invest $1.5 billion, industry sources said.
As part of its deal, Eni's current joint venture with PDVSA will transition into a 25-year production-sharing contract, the company said in a release.
"What we need is not just signing papers, we need barrels," Eni CEO Claudio Descalzi said during the event.
Junin 5 produces approximately 12,000 bpd, Eni said in the release. The oil production target from all its oil projects is 400,000 bpd by the end of this decade.
Other pacts include an oilfield development agreement with energy firm Primavera and an exploration agreement with Denver-based oil services company Aspect Holdings.
Aspect will develop several fields over the coming years in Venezuela, Chairman Alex Cranberg said during the signing ceremony.
Chevron plans to invest more than $7 billion to double its output in the country to about 600,000 bpd over the next five years, part of its strategy of expanding joint ventures with PDVSA.
Chevron CEO Mike Wirth and Descalzi traveled to Venezuela for the signing. It was Wirth's first visit to the South American country, where Chevron has maintained a consistent presence even after other oil majors left following the seizure of assets under former President Hugo Chavez.
The U.S. and Venezuela are also working to lift sanctions on Venezuela, Rodriguez said during the press conference.
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