FR10 is a designation for wire rod according to AFNOR NF A35-053 Fil machine en acier non allié pour fabrications réalisées par formage à chaud ou à froid - Qualités. SAE only has standards for alloy designations (like SAE J403) or mechanical properties of fasteners (like SAE J1199). For composition, grades 1006 and 1010 in SAE J403 would be close (but not equivalent). However, there are requirements other than composition that are important and not specified in J403, so you must consider those.
I don't understand why you don't ask the customer for more information about the parts you are quoting. If they gave you a part drawing, and you have questions, why don't you contact your customer?
Lastly, this is about the 10th time on this site that you have requested information regarding substitution of various materials. It seems that it is time for you and your employer to obtain the necessary references to conduct your business. Relying on the collective experience and kindness of strangers seems like a poor practice.
Regards,
Cory
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