* China, U.S. consult via "intensive" phone calls - ministry
* Consultations have steadily advanced despite Christmas
* China to relax equity cap on foreign investment in education, medical sectors (Adds commerce ministry comment on removing restrictions, relaxing some foreign investment curbs)
By Yawen Chen and Ryan Woo
BEIJING, Dec 27 (Reuters) - China and the United States have made plans for face-to-face consultations over trade in January, the Chinese commerce ministry said on Thursday, as the world's two biggest economies advanced efforts to resolve a months-long trade war.
Consultations through "intensive" telephone calls will continue in the meantime, Gao Feng, spokesman at the commerce ministry, told reporters, adding that talks have been steadily moving forward despite the Christmas break in the United States.
"Even as the U.S side is in the Christmas holiday period, China and U.S. economic and trade teams have been in close communication, and the consultations are progressing in an orderly manner as scheduled," Gao said, when asked about progress on negotiations.
Gao did not comment directly when asked to confirm a media report on a U.S. trade delegation visit scheduled for the week of Jan. 7.
"The two sides have indeed made specific arrangements for face-to-face consultations in January in addition to continuing intensive telephone consultations," he said, without elaborating.
U.S. and Chinese officials have spoken by phone in recent weeks, but a meeting next month would be the first in-person talks since U.S. President Donald Trump met his Chinese counterpart, Xi Jinping, in Buenos Aires on Dec. 1.
Trump and Xi agreed to stop escalating tit-for-tat tariffs that have disrupted the flow of hundreds of billions of dollars of goods between the two countries.
The leaders also agreed to launch new talks while the United States delayed a planned Jan. 1 tariff increase until March.
In response, China has resumed purchases of U.S. soybeans for the first time in six months, even though hefty tariffs on U.S. cargoes remain in place.
China has also said it will suspend additional tariffs on U.S.-made vehicles and auto parts for three months starting on Jan. 1, adding that it hopes both sides can speed up negotiations to remove all additional tariffs on each other's goods.
Bloomberg, citing two people familiar with the matter, reported on Wednesday that a U.S. trade team will travel to Beijing the week of Jan. 7 for talks.
A person familiar with the matter told Reuters last week that talks were likely in early January.
In yet another reconciliatory sign, China issued on Tuesday a so-called negative list that specifies industries where investors - domestic or foreign - are either restricted or prohibited.
The unified list is seen as another effort to address concern among Western investors that there is no level-playing field in China. Investment in key Chinese sectors, however, is still prohibited.
Gao said China would "comprehensively" remove all market access restrictions for foreign investors by the end of March, in areas not included in a foreign investment "negative" list published in June.
China has pledged to open its vast domestic market further to foreign investors and better protect their rights in the face of growing complaints and reduced foreign investment.
The commerce ministry is working on improving market access to foreign investors in the telecommunications, education, medical and culture sectors, Gao said, when asked about areas that could see curbs eased.
In particular, the equity cap on foreign investment in the education and medical sectors, which are of "great interest to foreign investors with a large gap in domestic supply", would be relaxed, he said, without giving a timeline.
On Wednesday, China unveiled the draft of a foreign investment law containing a proposed ban on forced technology transfer and illegal government "interference" in foreign business operations, practices that have come under the spotlight during the trade war.
In an apparent move to emphasize reciprocity, the draft law reserves the right to retaliate against countries that discriminate against Chinese investment with "corresponding measures".
The draft will likely go through several readings before being submitted to parliament for formal approval, which could take another year or more.
Heaping some uncertainty in the way of the trade talks was the recent arrest of the chief financial officer of Huawei Technologies Co Ltd in Canada at the request of the United States.
U.S. prosecutors accuse Meng Wanzhou of misleading multinational banks about Iran-linked transactions, putting the banks at risk of violating U.S. sanctions. Meng, who is the daughter of Huawei's founder, has said she is innocent. (Reporting by Yawen Chen and Ryan Woo; Editing by Richard Borsuk, Robert Birsel)