Best is out of contract in the summer and could leave as a free agent if a deal is not agreed.
"The chairman has talked with Leon's agent and, as always, they want one thing and we want to give another," said Chris Coleman to the CT.
"We have been talking for some while because we are very aware that his contract runs out in the summer, but we can't give what we haven't got.
"We think we can offer him a good contract but ultimately it will be up to Leon to see what he wants to do.
"We want to keep him and we have said that all along."
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