The 27-year-old, who has never played for the Oranje, joined the Swans in the summer after leaving FC Twente.
Tiendalli was brought in after the injury to Neil Taylor ruled him out for the season.
He has competed with Ben Davies for the left-back spot after not featuring much early on in the campaign.
"I spoke to the assistant trainer when he was over here and I was so close to the national team," Tiendalli told the South Wales Evening Post.
"But at that time I didn't play so much (for Swansea), so then it was not going to happen."
However, since the turn of the year Tiendalli has been playing on a regular basis and is now attracting the attention of the Dutch management.
"He (Blind) said to me that they were looking at me and they were satisfied with what they were seeing at that time," Tiendalli said.
"But when they came over it was unlucky for me that I didn't play.
"I have never been in the senior Netherlands squad, and it would be a huge thing for me. We will see if the chance will come in the future. I know what I can do so we will see."