If an answer has been filed, your options are to get on with the case. If no answer has yet been filed, file your request to enter default. Your desire to set aside the dismissal of the default is the most unlikely of scenarios, since much is discretion is left to every judge in matters such as this.
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If defendant has not responded to the complaint, you can file another request to enter default. If a response has been filed and defendant did not respond to discovery your first step is to file a timely motion to compel. The judge will not reconsider his prior ruling. You have to have a present basis for entry of default or judgment.
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The other attorneys have given you good information. Whether the answer has been filed or not will determine how you proceed. If it has not, go ahead and file another request for default.