available for phone conversation in any time vs available for phone conversation at any time

Some examples from the web:

• Then quit having private phone conversations in your irritating cell phone voice in the workplace.
• I, maybe someone having' a phone conversation in the other room.
• He said the two of them had a lovely phone conversation in which they discussed how difficult it must have been for me to make the decision to stay here with you guys and not run off with her.
• Abdollah Asadi, head of the International Federation of Iranian Refugees (IFIR), spoke of a phone conversation in which Negar said she was in a 'contaminated unit with extremely dirty bathrooms'.
• The urgency procedure should apply if, at any time, an immediate revision of the budgetary resources available for response actions is needed.
• I wish our phone conversations were as flirty.
• The register shall be kept on paper or on another durable medium and shall be available for inspection at any time during the entire period provided for in paragraph 3.
• Covering up your secret phone conversations to that little backstabber Hayley.
• I overheard a phone conversation between Daniel and Helen Crowley.
• It's always been phone conversations.
• Describe the state of the defendant's voice during that phone conversation.
• And from what I heard of your phone conversation...
• I didn't like the way that phone conversation ended.
• We just had a weird phone conversation.
• Last night, a little phone conversation we had.
• None of our phone conversations last more than a few minutes.
• I know that all phone conversations are recorded.
• I'm pretty clear from our phone conversation what the rules are.
• I just made a phone conversation.
• Now, during the phone conversation he held up three rings.

Some examples from the web:

• The urgency procedure should apply if, at any time, an immediate revision of the budgetary resources available for response actions is needed.
• I wish our phone conversations were as flirty.
• The register shall be kept on paper or on another durable medium and shall be available for inspection at any time during the entire period provided for in paragraph 3.
• Covering up your secret phone conversations to that little backstabber Hayley.
• I overheard a phone conversation between Daniel and Helen Crowley.
• It's always been phone conversations.
• Describe the state of the defendant's voice during that phone conversation.
• And from what I heard of your phone conversation...
• I didn't like the way that phone conversation ended.
• We just had a weird phone conversation.
• Last night, a little phone conversation we had.
• None of our phone conversations last more than a few minutes.
• I know that all phone conversations are recorded.
• I'm pretty clear from our phone conversation what the rules are.
• I just made a phone conversation.
• Now, during the phone conversation he held up three rings.
• And we heard your phone conversation with him last night.
• I'll even try to arrange a phone conversation between you two.
• We have to talk about our last phone conversation.
• Then quit having private phone conversations in your irritating cell phone voice in the workplace.