Ten European football associations, including those of England and Wales, say that human rights are universal and apply everywhere.
The world governing body wrote to all the teams after the build up to the tournament.
Same-sex relationships, its human rights record and its treatment of migrant workers have been criticized by the host country.
The letter was criticized by a number of groups.
The Uefa Working Group on human rights and labour rights said in a joint statement that it would continue to press for answers on outstanding issues surrounding migrant workers.
"We acknowledge, and welcome, as we have done in the past, that significant progress has been made, particularly with regards to the rights of migrant workers, with the impact of legislative changes demonstrated in the International Labour Organisation's recent reports."
The assurances given by the Qatari Government regarding the safety, security, and inclusion of all fans who travel to the World Cup are good. We agree with the idea that diversity is a strength.
Human rights are supported by embracing diversity and tolerance. Human rights are applicable everywhere.
Football shouldn't be dragged into ideological or political battles and shouldn't hand out moral lessons, according to a letter signed by the president and secretary general of the sport's governing body.
England's Harry Kane and nine other captains of European teams will be wearing'One Love' armbands to promote diversity and inclusion.
Hummel said it "does not wish to be visible" in a tournament it claims has cost thousands of lives, while Australia's squad released a video urging Qatar to abolish its laws on same- sex marriage.
Any injury or death related to any construction project for the World Cup should be compensated, according to the FA.
"We will continue to support the momentum for positive, progressive change and continue to advocate for a conclusive outcome and update on the two key issues we have been discussing with Fifa for a long time."
We will continue to press for concrete answers to the issues of the compensation fund for migrant workers and the migrant workers center to be created in the state of DOHA.
Football can make positive and credible contributions to sustainable change in the world.
Fans hold up banners in the crowd at a protest at a game.
Dan is a sports editor for the British Broadcasting Corporation.
While written diplomatically, this joint statement is a robust and defiant response to Fifa's'stick to football' letter last week, which took the FA and the FAW by surprise, dismayed many in the sport, and was widely condemned by human rights groups and lesbian, gay, bisexual
The goal of the 10 west European federations is to reestablish their teams' right to make a stand on social issues, such as the plan by England and Wales players to wear rainbow armbands as part of an anti- discrimination campaign in a country where it is illegal to be gay.
The build-up to the World Cup has been marred by ethical and political issues, and an increasingly aggressive approach by the hosts towards their critics.
A Migrant Worker Centre and a compensation fund for those killed or injured during World Cup preparations are two issues that many within European football feel frustrated over.
Members of Uefa's Working Group on human rights had expected Fifa to help deliver progress on both these causes, and will hope that this will spur them into a renewed effort.
With the start of the tournament just days away, it remains to be seen whether this statement helps, but it is definitely a reminder of the tension that surrounds final preparations for the event.
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