Investors in four more Fidelity Investments funds have voted down a proposal pushed by an outside activist group to install rules against investing in companies linked to genocide.

The latest rejections, announced Wednesday during a Fidelity shareholder meeting, follow votes against an anti-genocide proposal in more than a dozen Fidelity funds last year. The proposal has netted some support, reaching as high as 31% of the votes in one case last year and as much as 24.6% Wednesday, but Fidelity has not backed the measure.

The proposal was brought by Boston-based Investors Against Genocide, which wants Fidelity to disengage from investing in a handful of companies - most notably PetroChina Co. (PTR) and its parent China National Petroleum Corp. - that have links with the government in Sudan, where the U.S. government has called militia attacks in the Darfur region a genocide.

None of the funds at issue on Wednesday - including Fidelity's huge Cash Reserves mutual fund - invest in the targeted companies, according to Investors Against Genocide. But the activist group, which has also taken its case to other mutual-fund companies, is seeking to set a trend through whichever funds it can reach.

The group asks investors to voluntary submit anti-genocide proposals so that they can be wrapped in when internal proposals cause fund companies to schedule votes. It seeks a flexible policy that will allow Fidelity to also address future humanitarian disasters.

Fidelity has said that it's sensitive to the situation in Darfur and "repulsed by genocide." But it has also urged shareholders to vote against these proposals while saying that remaining engaged with companies may be the best way to end practices they don't condone.

The company has also noted that the proposal would limit lawful investments.

-By Jon Kamp, Dow Jones Newswires; 617-654-6728; jon.kamp@dowjones.com