At a meeting of Schengen interior ministers in Brussels, Swiss Justice Minister Elisabeth Baume-Schneider said that only a third of migrants are being transferred to the relevant Dublin state.
She told the meeting on Thursday that this poor rate of transfers is weakening the credibility of the system.
The joint declaration, which was also signed by other countries including Germany, France and Austria, endorsed a roadmap set out last November.
The proposed new measures include screening and rapid asylum procedures at borders.
Ministers also agreed to the principle of a solidarity mechanism to relive the burden on countries that are particularly burdened by asylum seekers.
Baume-Schneider also wants all countries to coordinate visa policies for people from third countries to avoid too many visa exemptions.
The poor functioning of the system has led to rows between countries.
Switzerland has accused Italy of allowing asylum seekers to cross over the border too easily. Germany has made the same claim against Switzerland.
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Parts of Switzerland and Germany waterlogged as heavy rains continue
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Heavy rains continue to affect eastern Switzerland and the centre of the country. Flooding, landslides and damage to infrastructure have been reported. Further rains are forecast on Sunday.
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A high concentration of pollen can increase blood pressure in allergy sufferers, according to a Swiss study. The effect is much more pronounced in women and people who are overweight.
New asylum regulations come into effect in Switzerland
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Several asylum-related changes come into effect in Switzerland on June 1 aimed at improving the employment and housing situations of refugees.
Swiss unions call for CHF5,000 monthly salary for qualified apprentices
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All workers who have completed an apprenticeship should earn at least CHF5,000 per month, the Swiss Trade Union Federation said on Friday.
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There is a significant risk of flooding on the River Rhine from Lake Constance to Basel and on the Thur River in canton Thurgau in eastern Switzerland.
Switzerland to intensify border checks during sporting events
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In the context of events including the European Football Championships and the summer Olympics, border security will be increased.
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Asylum cases increased in 2022, not counting Ukrainians
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Switzerland's State Secretariat for Migration (SEM) says it received 24,511 asylum applications in 2022, without counting Ukrainians.
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The large influx of refugees has filled accommodation centres to bursting point, obliging the Swiss authorities to distribute more asylum seekers to cantons.
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