Li was scheduled to arrive in Switzerland late today for trade-focused talks in what is the first stop on his debut visit to Europe since taking over in a once-in-a-decade power transfer in Beijing.
In an opinion piece published in the Zurich daily Neue Zuercher Zeitung, Li wrote that the upcoming deal and his trip itself were "symbolic of China's openness to the outside world".
Li, who took charge as premier in March, is on his maiden foreign tour and arrives in Switzerland fresh from talks with neighbours India and Pakistan, before heading to top European trade partner Germany at the weekend.
"Switzerland will be the first continental European country, as well as the first in a list of the 20 largest global economies, to have conclude a key free-trade deal with China," Li wrote.
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"This will not only enhance our economic and trade cooperation, but also send the world a strong signal about the fight against trade and investment protectionism, as well as the liberalisation and facilitation of trade," he underlined.
The core of Li's talks with Swiss leaders are scheduled for tomorrow.
After wrangling notably over Chinese taxes on imported Swiss industrial goods and Switzerland's rules on China's agricultural exports, the two countries' negotiators wrapped up the technical details earlier this month.
That opened the way for their governments to prepare for a signature, although the deal itself is not set to be inked during Li's visit, as the two sides' legal teams are still analysing it.
Bilateral trade between Switzerland and China was worth USD 26.3 billion in 2012, with a full USD 22.8 billion of that figure represented by Swiss exports to China.