Kuyt has proved to be one of Liverpool's most consistent performers since his £10 million arrival from Feyenoord in 2006, where his mixture of excellent work ethics and goalscoring nous has helped endear him to the Anfield faithful.
However, since Dalglish's summer reshuffle, in which the likes of Stuart Downing, Charlie Adam and Jordan Henderson were added to January buys Andy Carroll and Luis Suarez, Kuyt has found opportunities limited, and is worried about his situation with the European Championships approaching in the summer.
Kuyt is in line to play a key role in a strong Holland push, but with a lack of minutes at club level potentially harming his chances, Galatasaray are ready to offer regular playing time and significantly boost his £65,000-a-week wages.
That package would be attractive to the 31-year-old, but the sticking point is doing a deal with Liverpool, who would want a fee of around £15 million, for a player who only extended his contract last April.
Galatasaray would be willing to go up to the £10 million mark, and include further payments linked to their success in their Turkish Super Liga, which they current top ahead of Fenerbahce and Besiktas.
The key to any deal going through would be Liverpool's ability to find a suitable replacement, with Kuyt's fellow countryman Eljero Elia the only winger currently under consideration by Dalglish.
The Juventus flyer has struggled to adapt to life in Turin, and may be allowed to leave initially on loan, with a view to a permanent deal.http://www.metro.co.uk/sport/football/886266-dirk-kuyt-to-be-offered-galatasaray-switch-to-save-his-euro-2012-chances?