Krag said she would raise the issue during ongoing negotiations to revise the EU regulation, claiming backing from the Danish medical technology industry.
The Danish minister said she was discussing ways to establish private-public partnerships to help Danish companies develop products in areas where there are currently no alternatives to phthalates.
Phthalates are a group of industrial chemicals used to make plastics like polyvinyl chloride (PVC) more flexible or resilient.
These chemicals are nearly ubiquitous in modern society. They are found in, among other things, toys, food packaging, hoses, raincoats, wall coverings, lubricants and detergents. They are also found in cosmetics such as nail polish, hair spray and shampoo, although some have been banned in Europe for such use.
Some phthalates have been found to disrupt the endocrine system, leading to bans across Europe for use in children's toys for instance.
Several phthalate compounds - DEHP, DBP, DIBP and BBP - have been linked to reduced sperm count, testicular atrophy and structural abnormalities in the reproductive systems of male test animals, and some studies also link phthalates to liver cancer in rats.
Phthalates, like other chemicals, fall under the EU's REACH regulation, which was adopted in 2006.
Krag said patients should be able to feel safe regarding the medical devices, whether they are plastic tubes, catheters, blood bags or other things in the healthcare systems, which unnecessarily put the patient at risk.
"Denmark could spearhead the development of better and healthier products if we create the possibilities for partnerships between the industry, authorities and experts and if we jointly push for stricter EU product requirements in the current EU negotiations," the minister added.
The director of the Danish medical technology industry, Peter Huntley, said the industry supports the health minister's wish to phase out the classified phthalates from medical devices together with the other EU countries.
"We in the Danish medical technology industry have come far regarding the phase-out of phthalates in our products, and we will among the European medical industry advocate for a European phase-out with a reasonable time frame. We have encouraged the health minister to put forward the wish for a phase out in the coming negotiations on new rules for medical devices," Huntley said.
In France, the government has decided that all phthalates in medical devices for children must be removed from 1 July 2015.